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Finding the Fourth Proportional to 20,260.38, 30,390.71 and 6,409.38

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Solution

The fourth proportional to 20,260.38, 30,390.71 and 6,409.38 is: 9,614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,260.38 : 30,390.71 = 6,409.38 : x
  2. Step 2: Convert to fraction form
    20,260.38/30,390.71 = 6,409.38/x
  3. Step 3: Cross multiply
    20,260.38x = 30,390.71 × 6,409.38
  4. Step 4: Simplify right side
    20,260.38x = 194,785,608.86
  5. Step 5: Solve for x
    x = 194,785,608.86/20,260.38
  6. Step 6: Final answer
    x = 9,614.11

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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.