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Finding the Fourth Proportional to 21,195.24, 31,791.86 and 7,870.88

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Solution

The fourth proportional to 21,195.24, 31,791.86 and 7,870.88 is: 11,805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,195.24 : 31,791.86 = 7,870.88 : x
  2. Step 2: Convert to fraction form
    21,195.24/31,791.86 = 7,870.88/x
  3. Step 3: Cross multiply
    21,195.24x = 31,791.86 × 7,870.88
  4. Step 4: Simplify right side
    21,195.24x = 250,229,915.04
  5. Step 5: Solve for x
    x = 250,229,915.04/21,195.24
  6. Step 6: Final answer
    x = 11,805.95

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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.