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Finding the Fourth Proportional to 11,811.80, 17,744.10 and 9,867.80

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Solution

The fourth proportional to 11,811.80, 17,744.10 and 9,867.80 is: 14,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.80 : 17,744.10 = 9,867.80 : x
  2. Step 2: Convert to fraction form
    11,811.80/17,744.10 = 9,867.80/x
  3. Step 3: Cross multiply
    11,811.80x = 17,744.10 × 9,867.80
  4. Step 4: Simplify right side
    11,811.80x = 175,095,229.98
  5. Step 5: Solve for x
    x = 175,095,229.98/11,811.80
  6. Step 6: Final answer
    x = 14,823.76

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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.