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Finding the Fourth Proportional to 13,877.78, 20,816.61 and 3,489.50

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Solution

The fourth proportional to 13,877.78, 20,816.61 and 3,489.50 is: 5,234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.78 : 20,816.61 = 3,489.50 : x
  2. Step 2: Convert to fraction form
    13,877.78/20,816.61 = 3,489.50/x
  3. Step 3: Cross multiply
    13,877.78x = 20,816.61 × 3,489.50
  4. Step 4: Simplify right side
    13,877.78x = 72,639,560.60
  5. Step 5: Solve for x
    x = 72,639,560.60/13,877.78
  6. Step 6: Final answer
    x = 5,234.23

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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.