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Finding the Fourth Proportional to 23,143.75, 34,717.25 and 9,292.75

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Solution

The fourth proportional to 23,143.75, 34,717.25 and 9,292.75 is: 13,939.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143.75 : 34,717.25 = 9,292.75 : x
  2. Step 2: Convert to fraction form
    23,143.75/34,717.25 = 9,292.75/x
  3. Step 3: Cross multiply
    23,143.75x = 34,717.25 × 9,292.75
  4. Step 4: Simplify right side
    23,143.75x = 322,618,724.94
  5. Step 5: Solve for x
    x = 322,618,724.94/23,143.75
  6. Step 6: Final answer
    x = 13,939.78

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