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Finding the Fourth Proportional to 23,471.00, 35,212.03 and 7,675.97

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Solution

The fourth proportional to 23,471.00, 35,212.03 and 7,675.97 is: 11,515.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.00 : 35,212.03 = 7,675.97 : x
  2. Step 2: Convert to fraction form
    23,471.00/35,212.03 = 7,675.97/x
  3. Step 3: Cross multiply
    23,471.00x = 35,212.03 × 7,675.97
  4. Step 4: Simplify right side
    23,471.00x = 270,286,319.45
  5. Step 5: Solve for x
    x = 270,286,319.45/23,471.00
  6. Step 6: Final answer
    x = 11,515.76

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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.