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Finding the Fourth Proportional to 13,649.80, 20,470.58 and 5,327.57

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Solution

The fourth proportional to 13,649.80, 20,470.58 and 5,327.57 is: 7,989.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.80 : 20,470.58 = 5,327.57 : x
  2. Step 2: Convert to fraction form
    13,649.80/20,470.58 = 5,327.57/x
  3. Step 3: Cross multiply
    13,649.80x = 20,470.58 × 5,327.57
  4. Step 4: Simplify right side
    13,649.80x = 109,058,318.90
  5. Step 5: Solve for x
    x = 109,058,318.90/13,649.80
  6. Step 6: Final answer
    x = 7,989.74

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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.