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Finding the Fourth Proportional to 24,834, 34,261.20 and 14,217.92

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Solution

The fourth proportional to 24,834, 34,261.20 and 14,217.92 is: 19,615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,834 : 34,261.20 = 14,217.92 : x
  2. Step 2: Convert to fraction form
    24,834/34,261.20 = 14,217.92/x
  3. Step 3: Cross multiply
    24,834x = 34,261.20 × 14,217.92
  4. Step 4: Simplify right side
    24,834x = 487,123,000.70
  5. Step 5: Solve for x
    x = 487,123,000.70/24,834
  6. Step 6: Final answer
    x = 19,615.16

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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.