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Finding the Fourth Proportional to 16,257.89, 22,435.42 and 9,087.82

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Solution

The fourth proportional to 16,257.89, 22,435.42 and 9,087.82 is: 12,540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.89 : 22,435.42 = 9,087.82 : x
  2. Step 2: Convert to fraction form
    16,257.89/22,435.42 = 9,087.82/x
  3. Step 3: Cross multiply
    16,257.89x = 22,435.42 × 9,087.82
  4. Step 4: Simplify right side
    16,257.89x = 203,889,059.92
  5. Step 5: Solve for x
    x = 203,889,059.92/16,257.89
  6. Step 6: Final answer
    x = 12,540.93

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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.