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Finding the Fourth Proportional to 23,655.38, 32,644.89 and 15,286.46

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Solution

The fourth proportional to 23,655.38, 32,644.89 and 15,286.46 is: 21,095.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,655.38 : 32,644.89 = 15,286.46 : x
  2. Step 2: Convert to fraction form
    23,655.38/32,644.89 = 15,286.46/x
  3. Step 3: Cross multiply
    23,655.38x = 32,644.89 × 15,286.46
  4. Step 4: Simplify right side
    23,655.38x = 499,024,641.96
  5. Step 5: Solve for x
    x = 499,024,641.96/23,655.38
  6. Step 6: Final answer
    x = 21,095.61

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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.