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Finding the Fourth Proportional to 15,142.48, 20,892.42 and 9,091.15

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Solution

The fourth proportional to 15,142.48, 20,892.42 and 9,091.15 is: 12,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.48 : 20,892.42 = 9,091.15 : x
  2. Step 2: Convert to fraction form
    15,142.48/20,892.42 = 9,091.15/x
  3. Step 3: Cross multiply
    15,142.48x = 20,892.42 × 9,091.15
  4. Step 4: Simplify right side
    15,142.48x = 189,936,019.62
  5. Step 5: Solve for x
    x = 189,936,019.62/15,142.48
  6. Step 6: Final answer
    x = 12,543.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.