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Finding the Fourth Proportional to 24,532.89, 36,805.46 and 9,736.90

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Solution

The fourth proportional to 24,532.89, 36,805.46 and 9,736.90 is: 14,607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,532.89 : 36,805.46 = 9,736.90 : x
  2. Step 2: Convert to fraction form
    24,532.89/36,805.46 = 9,736.90/x
  3. Step 3: Cross multiply
    24,532.89x = 36,805.46 × 9,736.90
  4. Step 4: Simplify right side
    24,532.89x = 358,371,083.47
  5. Step 5: Solve for x
    x = 358,371,083.47/24,532.89
  6. Step 6: Final answer
    x = 14,607.78

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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.