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Finding the Fourth Proportional to 27,792.36, 41,691.24 and 9,071.64

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Solution

The fourth proportional to 27,792.36, 41,691.24 and 9,071.64 is: 13,608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,792.36 : 41,691.24 = 9,071.64 : x
  2. Step 2: Convert to fraction form
    27,792.36/41,691.24 = 9,071.64/x
  3. Step 3: Cross multiply
    27,792.36x = 41,691.24 × 9,071.64
  4. Step 4: Simplify right side
    27,792.36x = 378,207,920.43
  5. Step 5: Solve for x
    x = 378,207,920.43/27,792.36
  6. Step 6: Final answer
    x = 13,608.34

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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.