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Finding the Fourth Proportional to 17,781.27, 26,688.65 and 9,022.47

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Solution

The fourth proportional to 17,781.27, 26,688.65 and 9,022.47 is: 13,542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.27 : 26,688.65 = 9,022.47 : x
  2. Step 2: Convert to fraction form
    17,781.27/26,688.65 = 9,022.47/x
  3. Step 3: Cross multiply
    17,781.27x = 26,688.65 × 9,022.47
  4. Step 4: Simplify right side
    17,781.27x = 240,797,498.85
  5. Step 5: Solve for x
    x = 240,797,498.85/17,781.27
  6. Step 6: Final answer
    x = 13,542.20

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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.