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Finding the Fourth Proportional to 17,671.91, 24,387.54 and 9,714.47

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Solution

The fourth proportional to 17,671.91, 24,387.54 and 9,714.47 is: 13,406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.91 : 24,387.54 = 9,714.47 : x
  2. Step 2: Convert to fraction form
    17,671.91/24,387.54 = 9,714.47/x
  3. Step 3: Cross multiply
    17,671.91x = 24,387.54 × 9,714.47
  4. Step 4: Simplify right side
    17,671.91x = 236,912,025.70
  5. Step 5: Solve for x
    x = 236,912,025.70/17,671.91
  6. Step 6: Final answer
    x = 13,406.14

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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.