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Finding the Fourth Proportional to 13,687.80, 20,531.70 and 9,022.20

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Solution

The fourth proportional to 13,687.80, 20,531.70 and 9,022.20 is: 13,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.80 : 20,531.70 = 9,022.20 : x
  2. Step 2: Convert to fraction form
    13,687.80/20,531.70 = 9,022.20/x
  3. Step 3: Cross multiply
    13,687.80x = 20,531.70 × 9,022.20
  4. Step 4: Simplify right side
    13,687.80x = 185,241,103.74
  5. Step 5: Solve for x
    x = 185,241,103.74/13,687.80
  6. Step 6: Final answer
    x = 13,533.30

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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.