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Finding the Fourth Proportional to 23,351.41, 35,027.42 and 7,769.03

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Solution

The fourth proportional to 23,351.41, 35,027.42 and 7,769.03 is: 11,653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,351.41 : 35,027.42 = 7,769.03 : x
  2. Step 2: Convert to fraction form
    23,351.41/35,027.42 = 7,769.03/x
  3. Step 3: Cross multiply
    23,351.41x = 35,027.42 × 7,769.03
  4. Step 4: Simplify right side
    23,351.41x = 272,129,125.53
  5. Step 5: Solve for x
    x = 272,129,125.53/23,351.41
  6. Step 6: Final answer
    x = 11,653.65

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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.