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Finding the Fourth Proportional to 23,351.50, 35,027.55 and 7,769.13

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Solution

The fourth proportional to 23,351.50, 35,027.55 and 7,769.13 is: 11,653.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,351.50 : 35,027.55 = 7,769.13 : x
  2. Step 2: Convert to fraction form
    23,351.50/35,027.55 = 7,769.13/x
  3. Step 3: Cross multiply
    23,351.50x = 35,027.55 × 7,769.13
  4. Step 4: Simplify right side
    23,351.50x = 272,133,589.53
  5. Step 5: Solve for x
    x = 272,133,589.53/23,351.50
  6. Step 6: Final answer
    x = 11,653.79

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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.