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Finding the Fourth Proportional to 15,204.55, 20,982.70 and 8,489.92

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Solution

The fourth proportional to 15,204.55, 20,982.70 and 8,489.92 is: 11,716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,204.55 : 20,982.70 = 8,489.92 : x
  2. Step 2: Convert to fraction form
    15,204.55/20,982.70 = 8,489.92/x
  3. Step 3: Cross multiply
    15,204.55x = 20,982.70 × 8,489.92
  4. Step 4: Simplify right side
    15,204.55x = 178,141,444.38
  5. Step 5: Solve for x
    x = 178,141,444.38/15,204.55
  6. Step 6: Final answer
    x = 11,716.32

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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.