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Finding the Fourth Proportional to 13,800.33, 20,686.05 and 6,398.69

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Solution

The fourth proportional to 13,800.33, 20,686.05 and 6,398.69 is: 9,591.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.33 : 20,686.05 = 6,398.69 : x
  2. Step 2: Convert to fraction form
    13,800.33/20,686.05 = 6,398.69/x
  3. Step 3: Cross multiply
    13,800.33x = 20,686.05 × 6,398.69
  4. Step 4: Simplify right side
    13,800.33x = 132,363,517.84
  5. Step 5: Solve for x
    x = 132,363,517.84/13,800.33
  6. Step 6: Final answer
    x = 9,591.33

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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.