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Finding the Fourth Proportional to 27,334.71, 41,007.82 and 15,494.16

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Solution

The fourth proportional to 27,334.71, 41,007.82 and 15,494.16 is: 23,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,334.71 : 41,007.82 = 15,494.16 : x
  2. Step 2: Convert to fraction form
    27,334.71/41,007.82 = 15,494.16/x
  3. Step 3: Cross multiply
    27,334.71x = 41,007.82 × 15,494.16
  4. Step 4: Simplify right side
    27,334.71x = 635,381,724.33
  5. Step 5: Solve for x
    x = 635,381,724.33/27,334.71
  6. Step 6: Final answer
    x = 23,244.50

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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.