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Finding the Fourth Proportional to 13,489.31, 20,233.23 and 4,129.34

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Solution

The fourth proportional to 13,489.31, 20,233.23 and 4,129.34 is: 6,193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.31 : 20,233.23 = 4,129.34 : x
  2. Step 2: Convert to fraction form
    13,489.31/20,233.23 = 4,129.34/x
  3. Step 3: Cross multiply
    13,489.31x = 20,233.23 × 4,129.34
  4. Step 4: Simplify right side
    13,489.31x = 83,549,784.80
  5. Step 5: Solve for x
    x = 83,549,784.80/13,489.31
  6. Step 6: Final answer
    x = 6,193.78

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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.