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Finding the Fourth Proportional to 25,309.19, 37,960.85 and 8,667

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Solution

The fourth proportional to 25,309.19, 37,960.85 and 8,667 is: 12,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,309.19 : 37,960.85 = 8,667 : x
  2. Step 2: Convert to fraction form
    25,309.19/37,960.85 = 8,667/x
  3. Step 3: Cross multiply
    25,309.19x = 37,960.85 × 8,667
  4. Step 4: Simplify right side
    25,309.19x = 329,006,708.62
  5. Step 5: Solve for x
    x = 329,006,708.62/25,309.19
  6. Step 6: Final answer
    x = 12,999.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.