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Finding the Fourth Proportional to 13,881.60, 20,825.22 and 5,116.56

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Solution

The fourth proportional to 13,881.60, 20,825.22 and 5,116.56 is: 7,675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881.60 : 20,825.22 = 5,116.56 : x
  2. Step 2: Convert to fraction form
    13,881.60/20,825.22 = 5,116.56/x
  3. Step 3: Cross multiply
    13,881.60x = 20,825.22 × 5,116.56
  4. Step 4: Simplify right side
    13,881.60x = 106,553,487.64
  5. Step 5: Solve for x
    x = 106,553,487.64/13,881.60
  6. Step 6: Final answer
    x = 7,675.88

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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.