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Finding the Fourth Proportional to 23,331.06, 34,989 and 7,744.50

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Solution

The fourth proportional to 23,331.06, 34,989 and 7,744.50 is: 11,614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,331.06 : 34,989 = 7,744.50 : x
  2. Step 2: Convert to fraction form
    23,331.06/34,989 = 7,744.50/x
  3. Step 3: Cross multiply
    23,331.06x = 34,989 × 7,744.50
  4. Step 4: Simplify right side
    23,331.06x = 270,972,310.50
  5. Step 5: Solve for x
    x = 270,972,310.50/23,331.06
  6. Step 6: Final answer
    x = 11,614.23

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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.