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Finding the Fourth Proportional to 17,671.78, 24,387.11 and 10,118.23

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Solution

The fourth proportional to 17,671.78, 24,387.11 and 10,118.23 is: 13,963.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.78 : 24,387.11 = 10,118.23 : x
  2. Step 2: Convert to fraction form
    17,671.78/24,387.11 = 10,118.23/x
  3. Step 3: Cross multiply
    17,671.78x = 24,387.11 × 10,118.23
  4. Step 4: Simplify right side
    17,671.78x = 246,754,314.40
  5. Step 5: Solve for x
    x = 246,754,314.40/17,671.78
  6. Step 6: Final answer
    x = 13,963.18

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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.