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Finding the Fourth Proportional to 27,112.71, 40,661.24 and 9,342.65

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Solution

The fourth proportional to 27,112.71, 40,661.24 and 9,342.65 is: 14,011.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,112.71 : 40,661.24 = 9,342.65 : x
  2. Step 2: Convert to fraction form
    27,112.71/40,661.24 = 9,342.65/x
  3. Step 3: Cross multiply
    27,112.71x = 40,661.24 × 9,342.65
  4. Step 4: Simplify right side
    27,112.71x = 379,883,530.58
  5. Step 5: Solve for x
    x = 379,883,530.58/27,112.71
  6. Step 6: Final answer
    x = 14,011.27

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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.