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Finding the Fourth Proportional to 15,644.57, 21,589.63 and 8,930.12

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Solution

The fourth proportional to 15,644.57, 21,589.63 and 8,930.12 is: 12,323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.57 : 21,589.63 = 8,930.12 : x
  2. Step 2: Convert to fraction form
    15,644.57/21,589.63 = 8,930.12/x
  3. Step 3: Cross multiply
    15,644.57x = 21,589.63 × 8,930.12
  4. Step 4: Simplify right side
    15,644.57x = 192,797,856.38
  5. Step 5: Solve for x
    x = 192,797,856.38/15,644.57
  6. Step 6: Final answer
    x = 12,323.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.