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Finding the Fourth Proportional to 12,853.38, 17,735.78 and 7,187.43

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Solution

The fourth proportional to 12,853.38, 17,735.78 and 7,187.43 is: 9,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.38 : 17,735.78 = 7,187.43 : x
  2. Step 2: Convert to fraction form
    12,853.38/17,735.78 = 7,187.43/x
  3. Step 3: Cross multiply
    12,853.38x = 17,735.78 × 7,187.43
  4. Step 4: Simplify right side
    12,853.38x = 127,474,695.21
  5. Step 5: Solve for x
    x = 127,474,695.21/12,853.38
  6. Step 6: Final answer
    x = 9,917.60

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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.