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Finding the Fourth Proportional to 15,082.44, 22,644.36 and 7,691.88

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Solution

The fourth proportional to 15,082.44, 22,644.36 and 7,691.88 is: 11,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,082.44 : 22,644.36 = 7,691.88 : x
  2. Step 2: Convert to fraction form
    15,082.44/22,644.36 = 7,691.88/x
  3. Step 3: Cross multiply
    15,082.44x = 22,644.36 × 7,691.88
  4. Step 4: Simplify right side
    15,082.44x = 174,177,699.80
  5. Step 5: Solve for x
    x = 174,177,699.80/15,082.44
  6. Step 6: Final answer
    x = 11,548.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.