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Finding the Fourth Proportional to 38,402.43, 57,609.71 and 13,441.87

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Solution

The fourth proportional to 38,402.43, 57,609.71 and 13,441.87 is: 20,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,402.43 : 57,609.71 = 13,441.87 : x
  2. Step 2: Convert to fraction form
    38,402.43/57,609.71 = 13,441.87/x
  3. Step 3: Cross multiply
    38,402.43x = 57,609.71 × 13,441.87
  4. Step 4: Simplify right side
    38,402.43x = 774,382,232.56
  5. Step 5: Solve for x
    x = 774,382,232.56/38,402.43
  6. Step 6: Final answer
    x = 20,164.93

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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.