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Finding the Fourth Proportional to 15,517.82, 21,414.66 and 8,444.24

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Solution

The fourth proportional to 15,517.82, 21,414.66 and 8,444.24 is: 11,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,517.82 : 21,414.66 = 8,444.24 : x
  2. Step 2: Convert to fraction form
    15,517.82/21,414.66 = 8,444.24/x
  3. Step 3: Cross multiply
    15,517.82x = 21,414.66 × 8,444.24
  4. Step 4: Simplify right side
    15,517.82x = 180,830,528.56
  5. Step 5: Solve for x
    x = 180,830,528.56/15,517.82
  6. Step 6: Final answer
    x = 11,653.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.