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Finding the Fourth Proportional to 22,689.74, 34,029.84 and 8,644.88

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Solution

The fourth proportional to 22,689.74, 34,029.84 and 8,644.88 is: 12,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,689.74 : 34,029.84 = 8,644.88 : x
  2. Step 2: Convert to fraction form
    22,689.74/34,029.84 = 8,644.88/x
  3. Step 3: Cross multiply
    22,689.74x = 34,029.84 × 8,644.88
  4. Step 4: Simplify right side
    22,689.74x = 294,183,883.22
  5. Step 5: Solve for x
    x = 294,183,883.22/22,689.74
  6. Step 6: Final answer
    x = 12,965.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.