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Finding the Fourth Proportional to 22,694.36, 34,043.34 and 7,111.96

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Solution

The fourth proportional to 22,694.36, 34,043.34 and 7,111.96 is: 10,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,694.36 : 34,043.34 = 7,111.96 : x
  2. Step 2: Convert to fraction form
    22,694.36/34,043.34 = 7,111.96/x
  3. Step 3: Cross multiply
    22,694.36x = 34,043.34 × 7,111.96
  4. Step 4: Simplify right side
    22,694.36x = 242,114,872.35
  5. Step 5: Solve for x
    x = 242,114,872.35/22,694.36
  6. Step 6: Final answer
    x = 10,668.50

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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.