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Finding the Fourth Proportional to 16,685.38, 23,027.92 and 10,947.66

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Solution

The fourth proportional to 16,685.38, 23,027.92 and 10,947.66 is: 15,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,685.38 : 23,027.92 = 10,947.66 : x
  2. Step 2: Convert to fraction form
    16,685.38/23,027.92 = 10,947.66/x
  3. Step 3: Cross multiply
    16,685.38x = 23,027.92 × 10,947.66
  4. Step 4: Simplify right side
    16,685.38x = 252,101,838.67
  5. Step 5: Solve for x
    x = 252,101,838.67/16,685.38
  6. Step 6: Final answer
    x = 15,109.15

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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.