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Finding the Fourth Proportional to 13,644.79, 20,468.40 and 5,851.78

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Solution

The fourth proportional to 13,644.79, 20,468.40 and 5,851.78 is: 8,778.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.79 : 20,468.40 = 5,851.78 : x
  2. Step 2: Convert to fraction form
    13,644.79/20,468.40 = 5,851.78/x
  3. Step 3: Cross multiply
    13,644.79x = 20,468.40 × 5,851.78
  4. Step 4: Simplify right side
    13,644.79x = 119,776,573.75
  5. Step 5: Solve for x
    x = 119,776,573.75/13,644.79
  6. Step 6: Final answer
    x = 8,778.19

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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.