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Finding the Fourth Proportional to 27,463.50, 41,170.82 and 9,929.43

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Solution

The fourth proportional to 27,463.50, 41,170.82 and 9,929.43 is: 14,885.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,463.50 : 41,170.82 = 9,929.43 : x
  2. Step 2: Convert to fraction form
    27,463.50/41,170.82 = 9,929.43/x
  3. Step 3: Cross multiply
    27,463.50x = 41,170.82 × 9,929.43
  4. Step 4: Simplify right side
    27,463.50x = 408,802,725.59
  5. Step 5: Solve for x
    x = 408,802,725.59/27,463.50
  6. Step 6: Final answer
    x = 14,885.31

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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.