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Finding the Fourth Proportional to 27,965.71, 41,955.13 and 9,245.74

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Solution

The fourth proportional to 27,965.71, 41,955.13 and 9,245.74 is: 13,870.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,965.71 : 41,955.13 = 9,245.74 : x
  2. Step 2: Convert to fraction form
    27,965.71/41,955.13 = 9,245.74/x
  3. Step 3: Cross multiply
    27,965.71x = 41,955.13 × 9,245.74
  4. Step 4: Simplify right side
    27,965.71x = 387,906,095.64
  5. Step 5: Solve for x
    x = 387,906,095.64/27,965.71
  6. Step 6: Final answer
    x = 13,870.78

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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.