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Finding the Fourth Proportional to 27,770.40, 41,659.20 and 13,737.60

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Solution

The fourth proportional to 27,770.40, 41,659.20 and 13,737.60 is: 20,608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,770.40 : 41,659.20 = 13,737.60 : x
  2. Step 2: Convert to fraction form
    27,770.40/41,659.20 = 13,737.60/x
  3. Step 3: Cross multiply
    27,770.40x = 41,659.20 × 13,737.60
  4. Step 4: Simplify right side
    27,770.40x = 572,297,425.92
  5. Step 5: Solve for x
    x = 572,297,425.92/27,770.40
  6. Step 6: Final answer
    x = 20,608.18

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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.