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Finding the Fourth Proportional to 23,149.72, 34,685.70 and 18,523

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Solution

The fourth proportional to 23,149.72, 34,685.70 and 18,523 is: 27,753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,149.72 : 34,685.70 = 18,523 : x
  2. Step 2: Convert to fraction form
    23,149.72/34,685.70 = 18,523/x
  3. Step 3: Cross multiply
    23,149.72x = 34,685.70 × 18,523
  4. Step 4: Simplify right side
    23,149.72x = 642,483,221.10
  5. Step 5: Solve for x
    x = 642,483,221.10/23,149.72
  6. Step 6: Final answer
    x = 27,753.39

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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.