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Finding the Fourth Proportional to 13,502.80, 20,254.20 and 11,862.55

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Solution

The fourth proportional to 13,502.80, 20,254.20 and 11,862.55 is: 17,793.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.80 : 20,254.20 = 11,862.55 : x
  2. Step 2: Convert to fraction form
    13,502.80/20,254.20 = 11,862.55/x
  3. Step 3: Cross multiply
    13,502.80x = 20,254.20 × 11,862.55
  4. Step 4: Simplify right side
    13,502.80x = 240,266,460.21
  5. Step 5: Solve for x
    x = 240,266,460.21/13,502.80
  6. Step 6: Final answer
    x = 17,793.83

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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.