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Finding the Fourth Proportional to 27,864.60, 41,798.72 and 8,141.50

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Solution

The fourth proportional to 27,864.60, 41,798.72 and 8,141.50 is: 12,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,864.60 : 41,798.72 = 8,141.50 : x
  2. Step 2: Convert to fraction form
    27,864.60/41,798.72 = 8,141.50/x
  3. Step 3: Cross multiply
    27,864.60x = 41,798.72 × 8,141.50
  4. Step 4: Simplify right side
    27,864.60x = 340,304,278.88
  5. Step 5: Solve for x
    x = 340,304,278.88/27,864.60
  6. Step 6: Final answer
    x = 12,212.78

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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.