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Finding the Fourth Proportional to 27,786.66, 41,683.65 and 9,060.15

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Solution

The fourth proportional to 27,786.66, 41,683.65 and 9,060.15 is: 13,591.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,786.66 : 41,683.65 = 9,060.15 : x
  2. Step 2: Convert to fraction form
    27,786.66/41,683.65 = 9,060.15/x
  3. Step 3: Cross multiply
    27,786.66x = 41,683.65 × 9,060.15
  4. Step 4: Simplify right side
    27,786.66x = 377,660,121.55
  5. Step 5: Solve for x
    x = 377,660,121.55/27,786.66
  6. Step 6: Final answer
    x = 13,591.42

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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.