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Finding the Fourth Proportional to 27,733.44, 41,590.32 and 8,006.64

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Solution

The fourth proportional to 27,733.44, 41,590.32 and 8,006.64 is: 12,007.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,733.44 : 41,590.32 = 8,006.64 : x
  2. Step 2: Convert to fraction form
    27,733.44/41,590.32 = 8,006.64/x
  3. Step 3: Cross multiply
    27,733.44x = 41,590.32 × 8,006.64
  4. Step 4: Simplify right side
    27,733.44x = 332,998,719.72
  5. Step 5: Solve for x
    x = 332,998,719.72/27,733.44
  6. Step 6: Final answer
    x = 12,007.12

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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.