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Finding the Fourth Proportional to 12,187.45, 16,826.52 and 9,954.69

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Solution

The fourth proportional to 12,187.45, 16,826.52 and 9,954.69 is: 13,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.45 : 16,826.52 = 9,954.69 : x
  2. Step 2: Convert to fraction form
    12,187.45/16,826.52 = 9,954.69/x
  3. Step 3: Cross multiply
    12,187.45x = 16,826.52 × 9,954.69
  4. Step 4: Simplify right side
    12,187.45x = 167,502,790.38
  5. Step 5: Solve for x
    x = 167,502,790.38/12,187.45
  6. Step 6: Final answer
    x = 13,743.88

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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.