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Finding the Fourth Proportional to 13,444.62, 20,149.41 and 6,865.26

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Solution

The fourth proportional to 13,444.62, 20,149.41 and 6,865.26 is: 10,288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,444.62 : 20,149.41 = 6,865.26 : x
  2. Step 2: Convert to fraction form
    13,444.62/20,149.41 = 6,865.26/x
  3. Step 3: Cross multiply
    13,444.62x = 20,149.41 × 6,865.26
  4. Step 4: Simplify right side
    13,444.62x = 138,330,938.50
  5. Step 5: Solve for x
    x = 138,330,938.50/13,444.62
  6. Step 6: Final answer
    x = 10,288.94

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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.