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Finding the Fourth Proportional to 27,873.32, 41,809.97 and 8,152.04

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Solution

The fourth proportional to 27,873.32, 41,809.97 and 8,152.04 is: 12,228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,873.32 : 41,809.97 = 8,152.04 : x
  2. Step 2: Convert to fraction form
    27,873.32/41,809.97 = 8,152.04/x
  3. Step 3: Cross multiply
    27,873.32x = 41,809.97 × 8,152.04
  4. Step 4: Simplify right side
    27,873.32x = 340,836,672.74
  5. Step 5: Solve for x
    x = 340,836,672.74/27,873.32
  6. Step 6: Final answer
    x = 12,228.06

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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.