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Finding the Fourth Proportional to 22,166.54, 30,590.44 and 13,214.78

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Solution

The fourth proportional to 22,166.54, 30,590.44 and 13,214.78 is: 18,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,166.54 : 30,590.44 = 13,214.78 : x
  2. Step 2: Convert to fraction form
    22,166.54/30,590.44 = 13,214.78/x
  3. Step 3: Cross multiply
    22,166.54x = 30,590.44 × 13,214.78
  4. Step 4: Simplify right side
    22,166.54x = 404,245,934.70
  5. Step 5: Solve for x
    x = 404,245,934.70/22,166.54
  6. Step 6: Final answer
    x = 18,236.76

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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.