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Finding the Fourth Proportional to 18,469.84, 27,701.76 and 5,319.22

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Solution

The fourth proportional to 18,469.84, 27,701.76 and 5,319.22 is: 7,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,469.84 : 27,701.76 = 5,319.22 : x
  2. Step 2: Convert to fraction form
    18,469.84/27,701.76 = 5,319.22/x
  3. Step 3: Cross multiply
    18,469.84x = 27,701.76 × 5,319.22
  4. Step 4: Simplify right side
    18,469.84x = 147,351,755.83
  5. Step 5: Solve for x
    x = 147,351,755.83/18,469.84
  6. Step 6: Final answer
    x = 7,977.97

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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.