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Finding the Fourth Proportional to 29,781.24, 41,097.90 and 16,352.73

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Solution

The fourth proportional to 29,781.24, 41,097.90 and 16,352.73 is: 22,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,781.24 : 41,097.90 = 16,352.73 : x
  2. Step 2: Convert to fraction form
    29,781.24/41,097.90 = 16,352.73/x
  3. Step 3: Cross multiply
    29,781.24x = 41,097.90 × 16,352.73
  4. Step 4: Simplify right side
    29,781.24x = 672,062,862.27
  5. Step 5: Solve for x
    x = 672,062,862.27/29,781.24
  6. Step 6: Final answer
    x = 22,566.65

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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.