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Finding the Fourth Proportional to 16,508.25, 22,781.43 and 9,434.66

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Solution

The fourth proportional to 16,508.25, 22,781.43 and 9,434.66 is: 13,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,508.25 : 22,781.43 = 9,434.66 : x
  2. Step 2: Convert to fraction form
    16,508.25/22,781.43 = 9,434.66/x
  3. Step 3: Cross multiply
    16,508.25x = 22,781.43 × 9,434.66
  4. Step 4: Simplify right side
    16,508.25x = 214,935,046.36
  5. Step 5: Solve for x
    x = 214,935,046.36/16,508.25
  6. Step 6: Final answer
    x = 13,019.86

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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.