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Finding the Fourth Proportional to 22,060.38, 33,096.10 and 6,478

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Solution

The fourth proportional to 22,060.38, 33,096.10 and 6,478 is: 9,718.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,060.38 : 33,096.10 = 6,478 : x
  2. Step 2: Convert to fraction form
    22,060.38/33,096.10 = 6,478/x
  3. Step 3: Cross multiply
    22,060.38x = 33,096.10 × 6,478
  4. Step 4: Simplify right side
    22,060.38x = 214,396,535.80
  5. Step 5: Solve for x
    x = 214,396,535.80/22,060.38
  6. Step 6: Final answer
    x = 9,718.62

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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.