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Finding the Fourth Proportional to 27,399, 37,794.66 and 16,065.74

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Solution

The fourth proportional to 27,399, 37,794.66 and 16,065.74 is: 22,161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,399 : 37,794.66 = 16,065.74 : x
  2. Step 2: Convert to fraction form
    27,399/37,794.66 = 16,065.74/x
  3. Step 3: Cross multiply
    27,399x = 37,794.66 × 16,065.74
  4. Step 4: Simplify right side
    27,399x = 607,199,180.95
  5. Step 5: Solve for x
    x = 607,199,180.95/27,399
  6. Step 6: Final answer
    x = 22,161.36

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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.