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Finding the Fourth Proportional to 18,534.60, 27,799.20 and 5,385.60

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Solution

The fourth proportional to 18,534.60, 27,799.20 and 5,385.60 is: 8,077.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,534.60 : 27,799.20 = 5,385.60 : x
  2. Step 2: Convert to fraction form
    18,534.60/27,799.20 = 5,385.60/x
  3. Step 3: Cross multiply
    18,534.60x = 27,799.20 × 5,385.60
  4. Step 4: Simplify right side
    18,534.60x = 149,715,371.52
  5. Step 5: Solve for x
    x = 149,715,371.52/18,534.60
  6. Step 6: Final answer
    x = 8,077.62

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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.