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Finding the Fourth Proportional to 24,769.24, 34,167.42 and 15,331.48

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Solution

The fourth proportional to 24,769.24, 34,167.42 and 15,331.48 is: 21,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,769.24 : 34,167.42 = 15,331.48 : x
  2. Step 2: Convert to fraction form
    24,769.24/34,167.42 = 15,331.48/x
  3. Step 3: Cross multiply
    24,769.24x = 34,167.42 × 15,331.48
  4. Step 4: Simplify right side
    24,769.24x = 523,837,116.38
  5. Step 5: Solve for x
    x = 523,837,116.38/24,769.24
  6. Step 6: Final answer
    x = 21,148.70

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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.