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Finding the Fourth Proportional to 24,761.44, 34,167.18 and 14,149

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Solution

The fourth proportional to 24,761.44, 34,167.18 and 14,149 is: 19,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,761.44 : 34,167.18 = 14,149 : x
  2. Step 2: Convert to fraction form
    24,761.44/34,167.18 = 14,149/x
  3. Step 3: Cross multiply
    24,761.44x = 34,167.18 × 14,149
  4. Step 4: Simplify right side
    24,761.44x = 483,431,429.82
  5. Step 5: Solve for x
    x = 483,431,429.82/24,761.44
  6. Step 6: Final answer
    x = 19,523.56

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1.5x scale

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.