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Finding the Fourth Proportional to 24,205.50, 36,308.25 and 7,789.50

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Solution

The fourth proportional to 24,205.50, 36,308.25 and 7,789.50 is: 11,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205.50 : 36,308.25 = 7,789.50 : x
  2. Step 2: Convert to fraction form
    24,205.50/36,308.25 = 7,789.50/x
  3. Step 3: Cross multiply
    24,205.50x = 36,308.25 × 7,789.50
  4. Step 4: Simplify right side
    24,205.50x = 282,823,113.38
  5. Step 5: Solve for x
    x = 282,823,113.38/24,205.50
  6. Step 6: Final answer
    x = 11,684.25

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.