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Finding the Fourth Proportional to 24,149.78, 36,217.65 and 9,355.40

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Solution

The fourth proportional to 24,149.78, 36,217.65 and 9,355.40 is: 14,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,149.78 : 36,217.65 = 9,355.40 : x
  2. Step 2: Convert to fraction form
    24,149.78/36,217.65 = 9,355.40/x
  3. Step 3: Cross multiply
    24,149.78x = 36,217.65 × 9,355.40
  4. Step 4: Simplify right side
    24,149.78x = 338,830,602.81
  5. Step 5: Solve for x
    x = 338,830,602.81/24,149.78
  6. Step 6: Final answer
    x = 14,030.38

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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.