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Finding the Fourth Proportional to 12,112.06, 16,694.08 and 9,239.80

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Solution

The fourth proportional to 12,112.06, 16,694.08 and 9,239.80 is: 12,735.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112.06 : 16,694.08 = 9,239.80 : x
  2. Step 2: Convert to fraction form
    12,112.06/16,694.08 = 9,239.80/x
  3. Step 3: Cross multiply
    12,112.06x = 16,694.08 × 9,239.80
  4. Step 4: Simplify right side
    12,112.06x = 154,249,960.38
  5. Step 5: Solve for x
    x = 154,249,960.38/12,112.06
  6. Step 6: Final answer
    x = 12,735.24

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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.