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Finding the Fourth Proportional to 27,517.86, 41,276.79 and 9,987.66

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Solution

The fourth proportional to 27,517.86, 41,276.79 and 9,987.66 is: 14,981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,517.86 : 41,276.79 = 9,987.66 : x
  2. Step 2: Convert to fraction form
    27,517.86/41,276.79 = 9,987.66/x
  3. Step 3: Cross multiply
    27,517.86x = 41,276.79 × 9,987.66
  4. Step 4: Simplify right side
    27,517.86x = 412,258,544.41
  5. Step 5: Solve for x
    x = 412,258,544.41/27,517.86
  6. Step 6: Final answer
    x = 14,981.49

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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.