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Finding the Fourth Proportional to 22,889.72, 34,306.85 and 9,714.41

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Solution

The fourth proportional to 22,889.72, 34,306.85 and 9,714.41 is: 14,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,889.72 : 34,306.85 = 9,714.41 : x
  2. Step 2: Convert to fraction form
    22,889.72/34,306.85 = 9,714.41/x
  3. Step 3: Cross multiply
    22,889.72x = 34,306.85 × 9,714.41
  4. Step 4: Simplify right side
    22,889.72x = 333,270,843.90
  5. Step 5: Solve for x
    x = 333,270,843.90/22,889.72
  6. Step 6: Final answer
    x = 14,559.85

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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.