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Finding the Fourth Proportional to 23,964.75, 35,952.98 and 7,548.75

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Solution

The fourth proportional to 23,964.75, 35,952.98 and 7,548.75 is: 11,324.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,964.75 : 35,952.98 = 7,548.75 : x
  2. Step 2: Convert to fraction form
    23,964.75/35,952.98 = 7,548.75/x
  3. Step 3: Cross multiply
    23,964.75x = 35,952.98 × 7,548.75
  4. Step 4: Simplify right side
    23,964.75x = 271,400,020.03
  5. Step 5: Solve for x
    x = 271,400,020.03/23,964.75
  6. Step 6: Final answer
    x = 11,324.97

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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.