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Finding the Fourth Proportional to 22,296.72, 33,458.10 and 8,446.80

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Solution

The fourth proportional to 22,296.72, 33,458.10 and 8,446.80 is: 12,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.72 : 33,458.10 = 8,446.80 : x
  2. Step 2: Convert to fraction form
    22,296.72/33,458.10 = 8,446.80/x
  3. Step 3: Cross multiply
    22,296.72x = 33,458.10 × 8,446.80
  4. Step 4: Simplify right side
    22,296.72x = 282,613,879.08
  5. Step 5: Solve for x
    x = 282,613,879.08/22,296.72
  6. Step 6: Final answer
    x = 12,675.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.