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Finding the Fourth Proportional to 10,243.92, 14,109 and 8,844.24

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Solution

The fourth proportional to 10,243.92, 14,109 and 8,844.24 is: 12,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.92 : 14,109 = 8,844.24 : x
  2. Step 2: Convert to fraction form
    10,243.92/14,109 = 8,844.24/x
  3. Step 3: Cross multiply
    10,243.92x = 14,109 × 8,844.24
  4. Step 4: Simplify right side
    10,243.92x = 124,783,382.16
  5. Step 5: Solve for x
    x = 124,783,382.16/10,243.92
  6. Step 6: Final answer
    x = 12,181.21

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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.