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Finding the Fourth Proportional to 26,601.92, 39,902.48 and 9,084

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Solution

The fourth proportional to 26,601.92, 39,902.48 and 9,084 is: 13,625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,601.92 : 39,902.48 = 9,084 : x
  2. Step 2: Convert to fraction form
    26,601.92/39,902.48 = 9,084/x
  3. Step 3: Cross multiply
    26,601.92x = 39,902.48 × 9,084
  4. Step 4: Simplify right side
    26,601.92x = 362,474,128.32
  5. Step 5: Solve for x
    x = 362,474,128.32/26,601.92
  6. Step 6: Final answer
    x = 13,625.86

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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.