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Finding the Fourth Proportional to 11,781.90, 17,641.17 and 10,287.03

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Solution

The fourth proportional to 11,781.90, 17,641.17 and 10,287.03 is: 15,402.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.90 : 17,641.17 = 10,287.03 : x
  2. Step 2: Convert to fraction form
    11,781.90/17,641.17 = 10,287.03/x
  3. Step 3: Cross multiply
    11,781.90x = 17,641.17 × 10,287.03
  4. Step 4: Simplify right side
    11,781.90x = 181,475,245.03
  5. Step 5: Solve for x
    x = 181,475,245.03/11,781.90
  6. Step 6: Final answer
    x = 15,402.88

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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.