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Finding the Fourth Proportional to 10,151.80, 15,229.13 and 3,132.38

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Solution

The fourth proportional to 10,151.80, 15,229.13 and 3,132.38 is: 4,699.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.80 : 15,229.13 = 3,132.38 : x
  2. Step 2: Convert to fraction form
    10,151.80/15,229.13 = 3,132.38/x
  3. Step 3: Cross multiply
    10,151.80x = 15,229.13 × 3,132.38
  4. Step 4: Simplify right side
    10,151.80x = 47,703,490.81
  5. Step 5: Solve for x
    x = 47,703,490.81/10,151.80
  6. Step 6: Final answer
    x = 4,699.02

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