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Finding the Fourth Proportional to 24,937.75, 34,414.14 and 13,759.75

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Solution

The fourth proportional to 24,937.75, 34,414.14 and 13,759.75 is: 18,988.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,937.75 : 34,414.14 = 13,759.75 : x
  2. Step 2: Convert to fraction form
    24,937.75/34,414.14 = 13,759.75/x
  3. Step 3: Cross multiply
    24,937.75x = 34,414.14 × 13,759.75
  4. Step 4: Simplify right side
    24,937.75x = 473,529,962.87
  5. Step 5: Solve for x
    x = 473,529,962.87/24,937.75
  6. Step 6: Final answer
    x = 18,988.48

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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.