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Finding the Fourth Proportional to 27,299.78, 37,658.97 and 18,240.74

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Solution

The fourth proportional to 27,299.78, 37,658.97 and 18,240.74 is: 25,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,299.78 : 37,658.97 = 18,240.74 : x
  2. Step 2: Convert to fraction form
    27,299.78/37,658.97 = 18,240.74/x
  3. Step 3: Cross multiply
    27,299.78x = 37,658.97 × 18,240.74
  4. Step 4: Simplify right side
    27,299.78x = 686,927,480.44
  5. Step 5: Solve for x
    x = 686,927,480.44/27,299.78
  6. Step 6: Final answer
    x = 25,162.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.