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Finding the Fourth Proportional to 24,738.62, 34,139.27 and 13,408.17

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Solution

The fourth proportional to 24,738.62, 34,139.27 and 13,408.17 is: 18,503.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,738.62 : 34,139.27 = 13,408.17 : x
  2. Step 2: Convert to fraction form
    24,738.62/34,139.27 = 13,408.17/x
  3. Step 3: Cross multiply
    24,738.62x = 34,139.27 × 13,408.17
  4. Step 4: Simplify right side
    24,738.62x = 457,745,068.80
  5. Step 5: Solve for x
    x = 457,745,068.80/24,738.62
  6. Step 6: Final answer
    x = 18,503.26

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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.