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Finding the Fourth Proportional to 16,239.44, 22,414.76 and 9,170

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Solution

The fourth proportional to 16,239.44, 22,414.76 and 9,170 is: 12,657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,239.44 : 22,414.76 = 9,170 : x
  2. Step 2: Convert to fraction form
    16,239.44/22,414.76 = 9,170/x
  3. Step 3: Cross multiply
    16,239.44x = 22,414.76 × 9,170
  4. Step 4: Simplify right side
    16,239.44x = 205,543,349.20
  5. Step 5: Solve for x
    x = 205,543,349.20/16,239.44
  6. Step 6: Final answer
    x = 12,657.05

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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.