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Finding the Fourth Proportional to 26,582.66, 39,873.99 and 7,861.24

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Solution

The fourth proportional to 26,582.66, 39,873.99 and 7,861.24 is: 11,791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,582.66 : 39,873.99 = 7,861.24 : x
  2. Step 2: Convert to fraction form
    26,582.66/39,873.99 = 7,861.24/x
  3. Step 3: Cross multiply
    26,582.66x = 39,873.99 × 7,861.24
  4. Step 4: Simplify right side
    26,582.66x = 313,458,838.47
  5. Step 5: Solve for x
    x = 313,458,838.47/26,582.66
  6. Step 6: Final answer
    x = 11,791.85

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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.