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Finding the Fourth Proportional to 15,174.52, 20,942.40 and 8,461.24

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Solution

The fourth proportional to 15,174.52, 20,942.40 and 8,461.24 is: 11,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,174.52 : 20,942.40 = 8,461.24 : x
  2. Step 2: Convert to fraction form
    15,174.52/20,942.40 = 8,461.24/x
  3. Step 3: Cross multiply
    15,174.52x = 20,942.40 × 8,461.24
  4. Step 4: Simplify right side
    15,174.52x = 177,198,672.58
  5. Step 5: Solve for x
    x = 177,198,672.58/15,174.52
  6. Step 6: Final answer
    x = 11,677.38

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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.