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Finding the Fourth Proportional to 20,193.76, 30,288.72 and 6,340.32

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Solution

The fourth proportional to 20,193.76, 30,288.72 and 6,340.32 is: 9,509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193.76 : 30,288.72 = 6,340.32 : x
  2. Step 2: Convert to fraction form
    20,193.76/30,288.72 = 6,340.32/x
  3. Step 3: Cross multiply
    20,193.76x = 30,288.72 × 6,340.32
  4. Step 4: Simplify right side
    20,193.76x = 192,040,177.19
  5. Step 5: Solve for x
    x = 192,040,177.19/20,193.76
  6. Step 6: Final answer
    x = 9,509.88

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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.