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Finding the Fourth Proportional to 27,660.68, 41,493.40 and 11,866.44

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Solution

The fourth proportional to 27,660.68, 41,493.40 and 11,866.44 is: 17,800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,660.68 : 41,493.40 = 11,866.44 : x
  2. Step 2: Convert to fraction form
    27,660.68/41,493.40 = 11,866.44/x
  3. Step 3: Cross multiply
    27,660.68x = 41,493.40 × 11,866.44
  4. Step 4: Simplify right side
    27,660.68x = 492,378,941.50
  5. Step 5: Solve for x
    x = 492,378,941.50/27,660.68
  6. Step 6: Final answer
    x = 17,800.68

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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.