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Finding the Fourth Proportional to 13,877.40, 20,815.88 and 3,489.16

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Solution

The fourth proportional to 13,877.40, 20,815.88 and 3,489.16 is: 5,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.40 : 20,815.88 = 3,489.16 : x
  2. Step 2: Convert to fraction form
    13,877.40/20,815.88 = 3,489.16/x
  3. Step 3: Cross multiply
    13,877.40x = 20,815.88 × 3,489.16
  4. Step 4: Simplify right side
    13,877.40x = 72,629,935.86
  5. Step 5: Solve for x
    x = 72,629,935.86/13,877.40
  6. Step 6: Final answer
    x = 5,233.68

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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.