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Finding the Fourth Proportional to 17,671.26, 24,385.17 and 10,117.65

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Solution

The fourth proportional to 17,671.26, 24,385.17 and 10,117.65 is: 13,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.26 : 24,385.17 = 10,117.65 : x
  2. Step 2: Convert to fraction form
    17,671.26/24,385.17 = 10,117.65/x
  3. Step 3: Cross multiply
    17,671.26x = 24,385.17 × 10,117.65
  4. Step 4: Simplify right side
    17,671.26x = 246,720,564.66
  5. Step 5: Solve for x
    x = 246,720,564.66/17,671.26
  6. Step 6: Final answer
    x = 13,961.68

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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.