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Finding the Fourth Proportional to 21,149.38, 31,718.87 and 9,306.12

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Solution

The fourth proportional to 21,149.38, 31,718.87 and 9,306.12 is: 13,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149.38 : 31,718.87 = 9,306.12 : x
  2. Step 2: Convert to fraction form
    21,149.38/31,718.87 = 9,306.12/x
  3. Step 3: Cross multiply
    21,149.38x = 31,718.87 × 9,306.12
  4. Step 4: Simplify right side
    21,149.38x = 295,179,563.95
  5. Step 5: Solve for x
    x = 295,179,563.95/21,149.38
  6. Step 6: Final answer
    x = 13,956.89

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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.