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Finding the Fourth Proportional to 25,674, 38,399.82 and 15,118.86

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Solution

The fourth proportional to 25,674, 38,399.82 and 15,118.86 is: 22,612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,674 : 38,399.82 = 15,118.86 : x
  2. Step 2: Convert to fraction form
    25,674/38,399.82 = 15,118.86/x
  3. Step 3: Cross multiply
    25,674x = 38,399.82 × 15,118.86
  4. Step 4: Simplify right side
    25,674x = 580,561,502.61
  5. Step 5: Solve for x
    x = 580,561,502.61/25,674
  6. Step 6: Final answer
    x = 22,612.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.