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Finding the Fourth Proportional to 15,976.92, 22,049.28 and 8,903.64

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Solution

The fourth proportional to 15,976.92, 22,049.28 and 8,903.64 is: 12,287.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,976.92 : 22,049.28 = 8,903.64 : x
  2. Step 2: Convert to fraction form
    15,976.92/22,049.28 = 8,903.64/x
  3. Step 3: Cross multiply
    15,976.92x = 22,049.28 × 8,903.64
  4. Step 4: Simplify right side
    15,976.92x = 196,318,851.38
  5. Step 5: Solve for x
    x = 196,318,851.38/15,976.92
  6. Step 6: Final answer
    x = 12,287.65

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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.