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Finding the Fourth Proportional to 16,129.12, 22,257.61 and 9,055.84

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Solution

The fourth proportional to 16,129.12, 22,257.61 and 9,055.84 is: 12,496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.12 : 22,257.61 = 9,055.84 : x
  2. Step 2: Convert to fraction form
    16,129.12/22,257.61 = 9,055.84/x
  3. Step 3: Cross multiply
    16,129.12x = 22,257.61 × 9,055.84
  4. Step 4: Simplify right side
    16,129.12x = 201,561,198.38
  5. Step 5: Solve for x
    x = 201,561,198.38/16,129.12
  6. Step 6: Final answer
    x = 12,496.73

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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.