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Finding the Fourth Proportional to 13,765.32, 20,640.42 and 6,365.70

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Solution

The fourth proportional to 13,765.32, 20,640.42 and 6,365.70 is: 9,545.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.32 : 20,640.42 = 6,365.70 : x
  2. Step 2: Convert to fraction form
    13,765.32/20,640.42 = 6,365.70/x
  3. Step 3: Cross multiply
    13,765.32x = 20,640.42 × 6,365.70
  4. Step 4: Simplify right side
    13,765.32x = 131,390,721.59
  5. Step 5: Solve for x
    x = 131,390,721.59/13,765.32
  6. Step 6: Final answer
    x = 9,545.05

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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.