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Finding the Fourth Proportional to 13,765.49, 20,648.25 and 3,377.24

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Solution

The fourth proportional to 13,765.49, 20,648.25 and 3,377.24 is: 5,065.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.49 : 20,648.25 = 3,377.24 : x
  2. Step 2: Convert to fraction form
    13,765.49/20,648.25 = 3,377.24/x
  3. Step 3: Cross multiply
    13,765.49x = 20,648.25 × 3,377.24
  4. Step 4: Simplify right side
    13,765.49x = 69,734,186.17
  5. Step 5: Solve for x
    x = 69,734,186.17/13,765.49
  6. Step 6: Final answer
    x = 5,065.87

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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.