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Finding the Fourth Proportional to 20,426.38, 30,641.46 and 7,947.34

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Solution

The fourth proportional to 20,426.38, 30,641.46 and 7,947.34 is: 11,921.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,426.38 : 30,641.46 = 7,947.34 : x
  2. Step 2: Convert to fraction form
    20,426.38/30,641.46 = 7,947.34/x
  3. Step 3: Cross multiply
    20,426.38x = 30,641.46 × 7,947.34
  4. Step 4: Simplify right side
    20,426.38x = 243,518,100.72
  5. Step 5: Solve for x
    x = 243,518,100.72/20,426.38
  6. Step 6: Final answer
    x = 11,921.75

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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.