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Finding the Fourth Proportional to 23,132.74, 34,700.82 and 20,378.48

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Solution

The fourth proportional to 23,132.74, 34,700.82 and 20,378.48 is: 30,569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,132.74 : 34,700.82 = 20,378.48 : x
  2. Step 2: Convert to fraction form
    23,132.74/34,700.82 = 20,378.48/x
  3. Step 3: Cross multiply
    23,132.74x = 34,700.82 × 20,378.48
  4. Step 4: Simplify right side
    23,132.74x = 707,149,966.35
  5. Step 5: Solve for x
    x = 707,149,966.35/23,132.74
  6. Step 6: Final answer
    x = 30,569.23

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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.