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Finding the Fourth Proportional to 13,339.50, 20,009.25 and 6,765.90

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Solution

The fourth proportional to 13,339.50, 20,009.25 and 6,765.90 is: 10,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,339.50 : 20,009.25 = 6,765.90 : x
  2. Step 2: Convert to fraction form
    13,339.50/20,009.25 = 6,765.90/x
  3. Step 3: Cross multiply
    13,339.50x = 20,009.25 × 6,765.90
  4. Step 4: Simplify right side
    13,339.50x = 135,380,584.58
  5. Step 5: Solve for x
    x = 135,380,584.58/13,339.50
  6. Step 6: Final answer
    x = 10,148.85

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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.