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Finding the Fourth Proportional to 10,809.72, 16,192.98 and 9,896.04

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Solution

The fourth proportional to 10,809.72, 16,192.98 and 9,896.04 is: 14,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.72 : 16,192.98 = 9,896.04 : x
  2. Step 2: Convert to fraction form
    10,809.72/16,192.98 = 9,896.04/x
  3. Step 3: Cross multiply
    10,809.72x = 16,192.98 × 9,896.04
  4. Step 4: Simplify right side
    10,809.72x = 160,246,377.80
  5. Step 5: Solve for x
    x = 160,246,377.80/10,809.72
  6. Step 6: Final answer
    x = 14,824.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.