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Finding the Fourth Proportional to 23,516.56, 32,452.72 and 12,761.20

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Solution

The fourth proportional to 23,516.56, 32,452.72 and 12,761.20 is: 17,610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,516.56 : 32,452.72 = 12,761.20 : x
  2. Step 2: Convert to fraction form
    23,516.56/32,452.72 = 12,761.20/x
  3. Step 3: Cross multiply
    23,516.56x = 32,452.72 × 12,761.20
  4. Step 4: Simplify right side
    23,516.56x = 414,135,650.46
  5. Step 5: Solve for x
    x = 414,135,650.46/23,516.56
  6. Step 6: Final answer
    x = 17,610.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.