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Finding the Fourth Proportional to 27,704.52, 38,232.20 and 16,378.10

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Solution

The fourth proportional to 27,704.52, 38,232.20 and 16,378.10 is: 22,601.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,704.52 : 38,232.20 = 16,378.10 : x
  2. Step 2: Convert to fraction form
    27,704.52/38,232.20 = 16,378.10/x
  3. Step 3: Cross multiply
    27,704.52x = 38,232.20 × 16,378.10
  4. Step 4: Simplify right side
    27,704.52x = 626,170,794.82
  5. Step 5: Solve for x
    x = 626,170,794.82/27,704.52
  6. Step 6: Final answer
    x = 22,601.76

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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.