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Finding the Fourth Proportional to 21,781.28, 32,646 and 15,171.68

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Solution

The fourth proportional to 21,781.28, 32,646 and 15,171.68 is: 22,739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,781.28 : 32,646 = 15,171.68 : x
  2. Step 2: Convert to fraction form
    21,781.28/32,646 = 15,171.68/x
  3. Step 3: Cross multiply
    21,781.28x = 32,646 × 15,171.68
  4. Step 4: Simplify right side
    21,781.28x = 495,294,665.28
  5. Step 5: Solve for x
    x = 495,294,665.28/21,781.28
  6. Step 6: Final answer
    x = 22,739.47

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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.