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Finding the Fourth Proportional to 21,924.60, 32,883.12 and 7,882.08

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Solution

The fourth proportional to 21,924.60, 32,883.12 and 7,882.08 is: 11,821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,924.60 : 32,883.12 = 7,882.08 : x
  2. Step 2: Convert to fraction form
    21,924.60/32,883.12 = 7,882.08/x
  3. Step 3: Cross multiply
    21,924.60x = 32,883.12 × 7,882.08
  4. Step 4: Simplify right side
    21,924.60x = 259,187,382.49
  5. Step 5: Solve for x
    x = 259,187,382.49/21,924.60
  6. Step 6: Final answer
    x = 11,821.76

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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.