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Finding the Fourth Proportional to 29,149.74, 40,229.74 and 17,825.86

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Solution

The fourth proportional to 29,149.74, 40,229.74 and 17,825.86 is: 24,601.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,149.74 : 40,229.74 = 17,825.86 : x
  2. Step 2: Convert to fraction form
    29,149.74/40,229.74 = 17,825.86/x
  3. Step 3: Cross multiply
    29,149.74x = 40,229.74 × 17,825.86
  4. Step 4: Simplify right side
    29,149.74x = 717,129,713.08
  5. Step 5: Solve for x
    x = 717,129,713.08/29,149.74
  6. Step 6: Final answer
    x = 24,601.58

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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.