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Finding the Fourth Proportional to 17,672.72, 24,387.86 and 9,713.86

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Solution

The fourth proportional to 17,672.72, 24,387.86 and 9,713.86 is: 13,404.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,672.72 : 24,387.86 = 9,713.86 : x
  2. Step 2: Convert to fraction form
    17,672.72/24,387.86 = 9,713.86/x
  3. Step 3: Cross multiply
    17,672.72x = 24,387.86 × 9,713.86
  4. Step 4: Simplify right side
    17,672.72x = 236,900,257.74
  5. Step 5: Solve for x
    x = 236,900,257.74/17,672.72
  6. Step 6: Final answer
    x = 13,404.86

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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.