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Finding the Fourth Proportional to 22,105.96, 30,506.72 and 12,546.48

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Solution

The fourth proportional to 22,105.96, 30,506.72 and 12,546.48 is: 17,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,105.96 : 30,506.72 = 12,546.48 : x
  2. Step 2: Convert to fraction form
    22,105.96/30,506.72 = 12,546.48/x
  3. Step 3: Cross multiply
    22,105.96x = 30,506.72 × 12,546.48
  4. Step 4: Simplify right side
    22,105.96x = 382,751,952.35
  5. Step 5: Solve for x
    x = 382,751,952.35/22,105.96
  6. Step 6: Final answer
    x = 17,314.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.