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Finding the Fourth Proportional to 24,672.38, 34,048.69 and 13,494.38

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Solution

The fourth proportional to 24,672.38, 34,048.69 and 13,494.38 is: 18,622.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,672.38 : 34,048.69 = 13,494.38 : x
  2. Step 2: Convert to fraction form
    24,672.38/34,048.69 = 13,494.38/x
  3. Step 3: Cross multiply
    24,672.38x = 34,048.69 × 13,494.38
  4. Step 4: Simplify right side
    24,672.38x = 459,465,757.38
  5. Step 5: Solve for x
    x = 459,465,757.38/24,672.38
  6. Step 6: Final answer
    x = 18,622.68

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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.