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Finding the Fourth Proportional to 16,166.92, 22,311.38 and 10,116.20

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Solution

The fourth proportional to 16,166.92, 22,311.38 and 10,116.20 is: 13,961.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,166.92 : 22,311.38 = 10,116.20 : x
  2. Step 2: Convert to fraction form
    16,166.92/22,311.38 = 10,116.20/x
  3. Step 3: Cross multiply
    16,166.92x = 22,311.38 × 10,116.20
  4. Step 4: Simplify right side
    16,166.92x = 225,706,382.36
  5. Step 5: Solve for x
    x = 225,706,382.36/16,166.92
  6. Step 6: Final answer
    x = 13,961.00

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Why These Related Problems?

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