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Finding the Fourth Proportional to 25,516.64, 38,278.92 and 13,029.90

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Solution

The fourth proportional to 25,516.64, 38,278.92 and 13,029.90 is: 19,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,516.64 : 38,278.92 = 13,029.90 : x
  2. Step 2: Convert to fraction form
    25,516.64/38,278.92 = 13,029.90/x
  3. Step 3: Cross multiply
    25,516.64x = 38,278.92 × 13,029.90
  4. Step 4: Simplify right side
    25,516.64x = 498,770,499.71
  5. Step 5: Solve for x
    x = 498,770,499.71/25,516.64
  6. Step 6: Final answer
    x = 19,546.87

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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.