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Finding the Fourth Proportional to 22,689.24, 34,029.09 and 8,644.38

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Solution

The fourth proportional to 22,689.24, 34,029.09 and 8,644.38 is: 12,964.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,689.24 : 34,029.09 = 8,644.38 : x
  2. Step 2: Convert to fraction form
    22,689.24/34,029.09 = 8,644.38/x
  3. Step 3: Cross multiply
    22,689.24x = 34,029.09 × 8,644.38
  4. Step 4: Simplify right side
    22,689.24x = 294,160,385.01
  5. Step 5: Solve for x
    x = 294,160,385.01/22,689.24
  6. Step 6: Final answer
    x = 12,964.75

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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.