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Finding the Fourth Proportional to 22,716.70, 34,054.09 and 12,194.10

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Solution

The fourth proportional to 22,716.70, 34,054.09 and 12,194.10 is: 18,279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,716.70 : 34,054.09 = 12,194.10 : x
  2. Step 2: Convert to fraction form
    22,716.70/34,054.09 = 12,194.10/x
  3. Step 3: Cross multiply
    22,716.70x = 34,054.09 × 12,194.10
  4. Step 4: Simplify right side
    22,716.70x = 415,258,978.87
  5. Step 5: Solve for x
    x = 415,258,978.87/22,716.70
  6. Step 6: Final answer
    x = 18,279.90

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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.