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Finding the Fourth Proportional to 20,438.76, 30,660.12 and 7,959.82

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Solution

The fourth proportional to 20,438.76, 30,660.12 and 7,959.82 is: 11,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.76 : 30,660.12 = 7,959.82 : x
  2. Step 2: Convert to fraction form
    20,438.76/30,660.12 = 7,959.82/x
  3. Step 3: Cross multiply
    20,438.76x = 30,660.12 × 7,959.82
  4. Step 4: Simplify right side
    20,438.76x = 244,049,036.38
  5. Step 5: Solve for x
    x = 244,049,036.38/20,438.76
  6. Step 6: Final answer
    x = 11,940.50

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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.