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Finding the Fourth Proportional to 13,520.87, 20,266.23 and 5,618.97

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Solution

The fourth proportional to 13,520.87, 20,266.23 and 5,618.97 is: 8,422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,520.87 : 20,266.23 = 5,618.97 : x
  2. Step 2: Convert to fraction form
    13,520.87/20,266.23 = 5,618.97/x
  3. Step 3: Cross multiply
    13,520.87x = 20,266.23 × 5,618.97
  4. Step 4: Simplify right side
    13,520.87x = 113,875,338.38
  5. Step 5: Solve for x
    x = 113,875,338.38/13,520.87
  6. Step 6: Final answer
    x = 8,422.19

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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.