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Finding the Fourth Proportional to 21,122.40, 31,689.12 and 7,974.96

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Solution

The fourth proportional to 21,122.40, 31,689.12 and 7,974.96 is: 11,964.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,122.40 : 31,689.12 = 7,974.96 : x
  2. Step 2: Convert to fraction form
    21,122.40/31,689.12 = 7,974.96/x
  3. Step 3: Cross multiply
    21,122.40x = 31,689.12 × 7,974.96
  4. Step 4: Simplify right side
    21,122.40x = 252,719,464.44
  5. Step 5: Solve for x
    x = 252,719,464.44/21,122.40
  6. Step 6: Final answer
    x = 11,964.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.