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Finding the Fourth Proportional to 23,747.69, 35,623.38 and 7,952.78

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Solution

The fourth proportional to 23,747.69, 35,623.38 and 7,952.78 is: 11,929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,747.69 : 35,623.38 = 7,952.78 : x
  2. Step 2: Convert to fraction form
    23,747.69/35,623.38 = 7,952.78/x
  3. Step 3: Cross multiply
    23,747.69x = 35,623.38 × 7,952.78
  4. Step 4: Simplify right side
    23,747.69x = 283,304,725.88
  5. Step 5: Solve for x
    x = 283,304,725.88/23,747.69
  6. Step 6: Final answer
    x = 11,929.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.