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Finding the Fourth Proportional to 16,035, 22,128.38 and 8,961.54

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Solution

The fourth proportional to 16,035, 22,128.38 and 8,961.54 is: 12,366.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,035 : 22,128.38 = 8,961.54 : x
  2. Step 2: Convert to fraction form
    16,035/22,128.38 = 8,961.54/x
  3. Step 3: Cross multiply
    16,035x = 22,128.38 × 8,961.54
  4. Step 4: Simplify right side
    16,035x = 198,304,362.51
  5. Step 5: Solve for x
    x = 198,304,362.51/16,035
  6. Step 6: Final answer
    x = 12,366.97

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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.