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Finding the Fourth Proportional to 15,891.41, 23,833.13 and 6,534.05

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Solution

The fourth proportional to 15,891.41, 23,833.13 and 6,534.05 is: 9,799.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.41 : 23,833.13 = 6,534.05 : x
  2. Step 2: Convert to fraction form
    15,891.41/23,833.13 = 6,534.05/x
  3. Step 3: Cross multiply
    15,891.41x = 23,833.13 × 6,534.05
  4. Step 4: Simplify right side
    15,891.41x = 155,726,711.24
  5. Step 5: Solve for x
    x = 155,726,711.24/15,891.41
  6. Step 6: Final answer
    x = 9,799.43

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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.