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Finding the Fourth Proportional to 27,566.16, 41,349.71 and 7,845.22

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Solution

The fourth proportional to 27,566.16, 41,349.71 and 7,845.22 is: 11,767.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,566.16 : 41,349.71 = 7,845.22 : x
  2. Step 2: Convert to fraction form
    27,566.16/41,349.71 = 7,845.22/x
  3. Step 3: Cross multiply
    27,566.16x = 41,349.71 × 7,845.22
  4. Step 4: Simplify right side
    27,566.16x = 324,397,571.89
  5. Step 5: Solve for x
    x = 324,397,571.89/27,566.16
  6. Step 6: Final answer
    x = 11,767.96

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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.