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Finding the Fourth Proportional to 27,714, 41,571.36 and 9,246

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Solution

The fourth proportional to 27,714, 41,571.36 and 9,246 is: 13,869.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714 : 41,571.36 = 9,246 : x
  2. Step 2: Convert to fraction form
    27,714/41,571.36 = 9,246/x
  3. Step 3: Cross multiply
    27,714x = 41,571.36 × 9,246
  4. Step 4: Simplify right side
    27,714x = 384,368,794.56
  5. Step 5: Solve for x
    x = 384,368,794.56/27,714
  6. Step 6: Final answer
    x = 13,869.12

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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.