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Finding the Fourth Proportional to 24,721, 34,115 and 13,543

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Solution

The fourth proportional to 24,721, 34,115 and 13,543 is: 18,689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,721 : 34,115 = 13,543 : x
  2. Step 2: Convert to fraction form
    24,721/34,115 = 13,543/x
  3. Step 3: Cross multiply
    24,721x = 34,115 × 13,543
  4. Step 4: Simplify right side
    24,721x = 462,019,445
  5. Step 5: Solve for x
    x = 462,019,445/24,721
  6. Step 6: Final answer
    x = 18,689.35

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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.