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Finding the Fourth Proportional to 22,788, 34,183.04 and 6,991.88

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Solution

The fourth proportional to 22,788, 34,183.04 and 6,991.88 is: 10,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,788 : 34,183.04 = 6,991.88 : x
  2. Step 2: Convert to fraction form
    22,788/34,183.04 = 6,991.88/x
  3. Step 3: Cross multiply
    22,788x = 34,183.04 × 6,991.88
  4. Step 4: Simplify right side
    22,788x = 239,003,713.72
  5. Step 5: Solve for x
    x = 239,003,713.72/22,788
  6. Step 6: Final answer
    x = 10,488.14

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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.