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Finding the Fourth Proportional to 21,243.38, 31,864.53 and 5,660.96

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Solution

The fourth proportional to 21,243.38, 31,864.53 and 5,660.96 is: 8,491.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,243.38 : 31,864.53 = 5,660.96 : x
  2. Step 2: Convert to fraction form
    21,243.38/31,864.53 = 5,660.96/x
  3. Step 3: Cross multiply
    21,243.38x = 31,864.53 × 5,660.96
  4. Step 4: Simplify right side
    21,243.38x = 180,383,829.75
  5. Step 5: Solve for x
    x = 180,383,829.75/21,243.38
  6. Step 6: Final answer
    x = 8,491.30

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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.