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Finding the Fourth Proportional to 12,206.80, 16,845.24 and 6,901.60

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Solution

The fourth proportional to 12,206.80, 16,845.24 and 6,901.60 is: 9,524.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.80 : 16,845.24 = 6,901.60 : x
  2. Step 2: Convert to fraction form
    12,206.80/16,845.24 = 6,901.60/x
  3. Step 3: Cross multiply
    12,206.80x = 16,845.24 × 6,901.60
  4. Step 4: Simplify right side
    12,206.80x = 116,259,108.38
  5. Step 5: Solve for x
    x = 116,259,108.38/12,206.80
  6. Step 6: Final answer
    x = 9,524.13

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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.