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Finding the Fourth Proportional to 26,338.96, 39,489.98 and 9,696.83

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Solution

The fourth proportional to 26,338.96, 39,489.98 and 9,696.83 is: 14,538.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,338.96 : 39,489.98 = 9,696.83 : x
  2. Step 2: Convert to fraction form
    26,338.96/39,489.98 = 9,696.83/x
  3. Step 3: Cross multiply
    26,338.96x = 39,489.98 × 9,696.83
  4. Step 4: Simplify right side
    26,338.96x = 382,927,745.73
  5. Step 5: Solve for x
    x = 382,927,745.73/26,338.96
  6. Step 6: Final answer
    x = 14,538.45

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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.