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Finding the Fourth Proportional to 12,105.39, 16,702.50 and 7,066.73

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Solution

The fourth proportional to 12,105.39, 16,702.50 and 7,066.73 is: 9,750.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.39 : 16,702.50 = 7,066.73 : x
  2. Step 2: Convert to fraction form
    12,105.39/16,702.50 = 7,066.73/x
  3. Step 3: Cross multiply
    12,105.39x = 16,702.50 × 7,066.73
  4. Step 4: Simplify right side
    12,105.39x = 118,031,974.31
  5. Step 5: Solve for x
    x = 118,031,974.31/12,105.39
  6. Step 6: Final answer
    x = 9,750.37

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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.