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Finding the Fourth Proportional to 20,143.38, 30,215.08 and 7,660.52

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Solution

The fourth proportional to 20,143.38, 30,215.08 and 7,660.52 is: 11,490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.38 : 30,215.08 = 7,660.52 : x
  2. Step 2: Convert to fraction form
    20,143.38/30,215.08 = 7,660.52/x
  3. Step 3: Cross multiply
    20,143.38x = 30,215.08 × 7,660.52
  4. Step 4: Simplify right side
    20,143.38x = 231,463,224.64
  5. Step 5: Solve for x
    x = 231,463,224.64/20,143.38
  6. Step 6: Final answer
    x = 11,490.78

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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.