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Finding the Fourth Proportional to 26,561.77, 39,833.36 and 7,836.83

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Solution

The fourth proportional to 26,561.77, 39,833.36 and 7,836.83 is: 11,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,561.77 : 39,833.36 = 7,836.83 : x
  2. Step 2: Convert to fraction form
    26,561.77/39,833.36 = 7,836.83/x
  3. Step 3: Cross multiply
    26,561.77x = 39,833.36 × 7,836.83
  4. Step 4: Simplify right side
    26,561.77x = 312,167,270.65
  5. Step 5: Solve for x
    x = 312,167,270.65/26,561.77
  6. Step 6: Final answer
    x = 11,752.50

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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.