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Finding the Fourth Proportional to 38,614.50, 57,926.34 and 13,649.40

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Solution

The fourth proportional to 38,614.50, 57,926.34 and 13,649.40 is: 20,475.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,614.50 : 57,926.34 = 13,649.40 : x
  2. Step 2: Convert to fraction form
    38,614.50/57,926.34 = 13,649.40/x
  3. Step 3: Cross multiply
    38,614.50x = 57,926.34 × 13,649.40
  4. Step 4: Simplify right side
    38,614.50x = 790,659,785.20
  5. Step 5: Solve for x
    x = 790,659,785.20/38,614.50
  6. Step 6: Final answer
    x = 20,475.72

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