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Finding the Fourth Proportional to 23,478, 35,217.20 and 5,947.84

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Solution

The fourth proportional to 23,478, 35,217.20 and 5,947.84 is: 8,921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,478 : 35,217.20 = 5,947.84 : x
  2. Step 2: Convert to fraction form
    23,478/35,217.20 = 5,947.84/x
  3. Step 3: Cross multiply
    23,478x = 35,217.20 × 5,947.84
  4. Step 4: Simplify right side
    23,478x = 209,466,270.85
  5. Step 5: Solve for x
    x = 209,466,270.85/23,478
  6. Step 6: Final answer
    x = 8,921.81

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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.