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Finding the Fourth Proportional to 19,672.89, 29,516.63 and 9,148.56

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Solution

The fourth proportional to 19,672.89, 29,516.63 and 9,148.56 is: 13,726.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672.89 : 29,516.63 = 9,148.56 : x
  2. Step 2: Convert to fraction form
    19,672.89/29,516.63 = 9,148.56/x
  3. Step 3: Cross multiply
    19,672.89x = 29,516.63 × 9,148.56
  4. Step 4: Simplify right side
    19,672.89x = 270,034,660.55
  5. Step 5: Solve for x
    x = 270,034,660.55/19,672.89
  6. Step 6: Final answer
    x = 13,726.23

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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.