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Finding the Fourth Proportional to 27,793.80, 41,638.37 and 13,737.38

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Solution

The fourth proportional to 27,793.80, 41,638.37 and 13,737.38 is: 20,580.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,793.80 : 41,638.37 = 13,737.38 : x
  2. Step 2: Convert to fraction form
    27,793.80/41,638.37 = 13,737.38/x
  3. Step 3: Cross multiply
    27,793.80x = 41,638.37 × 13,737.38
  4. Step 4: Simplify right side
    27,793.80x = 572,001,834.39
  5. Step 5: Solve for x
    x = 572,001,834.39/27,793.80
  6. Step 6: Final answer
    x = 20,580.20

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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.