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Finding the Fourth Proportional to 19,743.30, 29,614.32 and 7,891.20

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Solution

The fourth proportional to 19,743.30, 29,614.32 and 7,891.20 is: 11,836.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,743.30 : 29,614.32 = 7,891.20 : x
  2. Step 2: Convert to fraction form
    19,743.30/29,614.32 = 7,891.20/x
  3. Step 3: Cross multiply
    19,743.30x = 29,614.32 × 7,891.20
  4. Step 4: Simplify right side
    19,743.30x = 233,692,521.98
  5. Step 5: Solve for x
    x = 233,692,521.98/19,743.30
  6. Step 6: Final answer
    x = 11,836.55

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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.