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Finding the Fourth Proportional to 20,120, 27,765.60 and 11,737.04

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Solution

The fourth proportional to 20,120, 27,765.60 and 11,737.04 is: 16,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,120 : 27,765.60 = 11,737.04 : x
  2. Step 2: Convert to fraction form
    20,120/27,765.60 = 11,737.04/x
  3. Step 3: Cross multiply
    20,120x = 27,765.60 × 11,737.04
  4. Step 4: Simplify right side
    20,120x = 325,885,957.82
  5. Step 5: Solve for x
    x = 325,885,957.82/20,120
  6. Step 6: Final answer
    x = 16,197.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.