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Finding the Fourth Proportional to 23,129.27, 34,694.10 and 19,775.80

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Solution

The fourth proportional to 23,129.27, 34,694.10 and 19,775.80 is: 29,663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,129.27 : 34,694.10 = 19,775.80 : x
  2. Step 2: Convert to fraction form
    23,129.27/34,694.10 = 19,775.80/x
  3. Step 3: Cross multiply
    23,129.27x = 34,694.10 × 19,775.80
  4. Step 4: Simplify right side
    23,129.27x = 686,103,375.37
  5. Step 5: Solve for x
    x = 686,103,375.37/23,129.27
  6. Step 6: Final answer
    x = 29,663.86

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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.