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Finding the Fourth Proportional to 13,758.24, 20,644.23 and 5,865.90

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Solution

The fourth proportional to 13,758.24, 20,644.23 and 5,865.90 is: 8,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.24 : 20,644.23 = 5,865.90 : x
  2. Step 2: Convert to fraction form
    13,758.24/20,644.23 = 5,865.90/x
  3. Step 3: Cross multiply
    13,758.24x = 20,644.23 × 5,865.90
  4. Step 4: Simplify right side
    13,758.24x = 121,096,988.76
  5. Step 5: Solve for x
    x = 121,096,988.76/13,758.24
  6. Step 6: Final answer
    x = 8,801.78

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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.