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Finding the Fourth Proportional to 21,925.28, 32,868.18 and 7,882.02

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Solution

The fourth proportional to 21,925.28, 32,868.18 and 7,882.02 is: 11,815.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,925.28 : 32,868.18 = 7,882.02 : x
  2. Step 2: Convert to fraction form
    21,925.28/32,868.18 = 7,882.02/x
  3. Step 3: Cross multiply
    21,925.28x = 32,868.18 × 7,882.02
  4. Step 4: Simplify right side
    21,925.28x = 259,067,652.12
  5. Step 5: Solve for x
    x = 259,067,652.12/21,925.28
  6. Step 6: Final answer
    x = 11,815.94

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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.