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Finding the Fourth Proportional to 23,123.80, 34,691.10 and 7,541.56

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Solution

The fourth proportional to 23,123.80, 34,691.10 and 7,541.56 is: 11,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,123.80 : 34,691.10 = 7,541.56 : x
  2. Step 2: Convert to fraction form
    23,123.80/34,691.10 = 7,541.56/x
  3. Step 3: Cross multiply
    23,123.80x = 34,691.10 × 7,541.56
  4. Step 4: Simplify right side
    23,123.80x = 261,625,012.12
  5. Step 5: Solve for x
    x = 261,625,012.12/23,123.80
  6. Step 6: Final answer
    x = 11,314.10

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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.