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Finding the Fourth Proportional to 21,964.80, 32,940.80 and 7,923.20

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Solution

The fourth proportional to 21,964.80, 32,940.80 and 7,923.20 is: 11,882.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,964.80 : 32,940.80 = 7,923.20 : x
  2. Step 2: Convert to fraction form
    21,964.80/32,940.80 = 7,923.20/x
  3. Step 3: Cross multiply
    21,964.80x = 32,940.80 × 7,923.20
  4. Step 4: Simplify right side
    21,964.80x = 260,996,546.56
  5. Step 5: Solve for x
    x = 260,996,546.56/21,964.80
  6. Step 6: Final answer
    x = 11,882.49

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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.