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Finding the Fourth Proportional to 29,242.98, 43,854.11 and 9,517.86

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Solution

The fourth proportional to 29,242.98, 43,854.11 and 9,517.86 is: 14,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,242.98 : 43,854.11 = 9,517.86 : x
  2. Step 2: Convert to fraction form
    29,242.98/43,854.11 = 9,517.86/x
  3. Step 3: Cross multiply
    29,242.98x = 43,854.11 × 9,517.86
  4. Step 4: Simplify right side
    29,242.98x = 417,397,279.40
  5. Step 5: Solve for x
    x = 417,397,279.40/29,242.98
  6. Step 6: Final answer
    x = 14,273.42

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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.