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Finding the Fourth Proportional to 21,781.68, 32,661.87 and 9,129.06

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Solution

The fourth proportional to 21,781.68, 32,661.87 and 9,129.06 is: 13,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,781.68 : 32,661.87 = 9,129.06 : x
  2. Step 2: Convert to fraction form
    21,781.68/32,661.87 = 9,129.06/x
  3. Step 3: Cross multiply
    21,781.68x = 32,661.87 × 9,129.06
  4. Step 4: Simplify right side
    21,781.68x = 298,172,170.94
  5. Step 5: Solve for x
    x = 298,172,170.94/21,781.68
  6. Step 6: Final answer
    x = 13,689.13

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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.