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Finding the Fourth Proportional to 17,908.71, 24,714.77 and 9,951

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Solution

The fourth proportional to 17,908.71, 24,714.77 and 9,951 is: 13,732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,908.71 : 24,714.77 = 9,951 : x
  2. Step 2: Convert to fraction form
    17,908.71/24,714.77 = 9,951/x
  3. Step 3: Cross multiply
    17,908.71x = 24,714.77 × 9,951
  4. Step 4: Simplify right side
    17,908.71x = 245,936,626.52
  5. Step 5: Solve for x
    x = 245,936,626.52/17,908.71
  6. Step 6: Final answer
    x = 13,732.79

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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.