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Finding the Fourth Proportional to 12,785.87, 17,667.38 and 9,960.54

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Solution

The fourth proportional to 12,785.87, 17,667.38 and 9,960.54 is: 13,763.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.87 : 17,667.38 = 9,960.54 : x
  2. Step 2: Convert to fraction form
    12,785.87/17,667.38 = 9,960.54/x
  3. Step 3: Cross multiply
    12,785.87x = 17,667.38 × 9,960.54
  4. Step 4: Simplify right side
    12,785.87x = 175,976,566.48
  5. Step 5: Solve for x
    x = 175,976,566.48/12,785.87
  6. Step 6: Final answer
    x = 13,763.37

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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.