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Finding the Fourth Proportional to 24,827.76, 37,242.78 and 8,189.25

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Solution

The fourth proportional to 24,827.76, 37,242.78 and 8,189.25 is: 12,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,827.76 : 37,242.78 = 8,189.25 : x
  2. Step 2: Convert to fraction form
    24,827.76/37,242.78 = 8,189.25/x
  3. Step 3: Cross multiply
    24,827.76x = 37,242.78 × 8,189.25
  4. Step 4: Simplify right side
    24,827.76x = 304,990,208.95
  5. Step 5: Solve for x
    x = 304,990,208.95/24,827.76
  6. Step 6: Final answer
    x = 12,284.24

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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.