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Finding the Fourth Proportional to 13,773.92, 20,660.70 and 3,385.76

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Solution

The fourth proportional to 13,773.92, 20,660.70 and 3,385.76 is: 5,078.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.92 : 20,660.70 = 3,385.76 : x
  2. Step 2: Convert to fraction form
    13,773.92/20,660.70 = 3,385.76/x
  3. Step 3: Cross multiply
    13,773.92x = 20,660.70 × 3,385.76
  4. Step 4: Simplify right side
    13,773.92x = 69,952,171.63
  5. Step 5: Solve for x
    x = 69,952,171.63/13,773.92
  6. Step 6: Final answer
    x = 5,078.60

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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.