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Finding the Fourth Proportional to 13,909.59, 20,866.14 and 5,144.58

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Solution

The fourth proportional to 13,909.59, 20,866.14 and 5,144.58 is: 7,717.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.59 : 20,866.14 = 5,144.58 : x
  2. Step 2: Convert to fraction form
    13,909.59/20,866.14 = 5,144.58/x
  3. Step 3: Cross multiply
    13,909.59x = 20,866.14 × 5,144.58
  4. Step 4: Simplify right side
    13,909.59x = 107,347,526.52
  5. Step 5: Solve for x
    x = 107,347,526.52/13,909.59
  6. Step 6: Final answer
    x = 7,717.52

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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.