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Finding the Fourth Proportional to 23,454.38, 35,098.47 and 20,686.46

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Solution

The fourth proportional to 23,454.38, 35,098.47 and 20,686.46 is: 30,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,454.38 : 35,098.47 = 20,686.46 : x
  2. Step 2: Convert to fraction form
    23,454.38/35,098.47 = 20,686.46/x
  3. Step 3: Cross multiply
    23,454.38x = 35,098.47 × 20,686.46
  4. Step 4: Simplify right side
    23,454.38x = 726,062,974.27
  5. Step 5: Solve for x
    x = 726,062,974.27/23,454.38
  6. Step 6: Final answer
    x = 30,956.39

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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.