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Finding the Fourth Proportional to 24,956.81, 34,432.12 and 16,463.15

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Solution

The fourth proportional to 24,956.81, 34,432.12 and 16,463.15 is: 22,713.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,956.81 : 34,432.12 = 16,463.15 : x
  2. Step 2: Convert to fraction form
    24,956.81/34,432.12 = 16,463.15/x
  3. Step 3: Cross multiply
    24,956.81x = 34,432.12 × 16,463.15
  4. Step 4: Simplify right side
    24,956.81x = 566,861,156.38
  5. Step 5: Solve for x
    x = 566,861,156.38/24,956.81
  6. Step 6: Final answer
    x = 22,713.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.