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Finding the Fourth Proportional to 20,383.64, 30,572.18 and 5,589.12

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Solution

The fourth proportional to 20,383.64, 30,572.18 and 5,589.12 is: 8,382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,383.64 : 30,572.18 = 5,589.12 : x
  2. Step 2: Convert to fraction form
    20,383.64/30,572.18 = 5,589.12/x
  3. Step 3: Cross multiply
    20,383.64x = 30,572.18 × 5,589.12
  4. Step 4: Simplify right side
    20,383.64x = 170,871,582.68
  5. Step 5: Solve for x
    x = 170,871,582.68/20,383.64
  6. Step 6: Final answer
    x = 8,382.78

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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.