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Finding the Fourth Proportional to 26,538.44, 39,801.28 and 7,813.38

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Solution

The fourth proportional to 26,538.44, 39,801.28 and 7,813.38 is: 11,718.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,538.44 : 39,801.28 = 7,813.38 : x
  2. Step 2: Convert to fraction form
    26,538.44/39,801.28 = 7,813.38/x
  3. Step 3: Cross multiply
    26,538.44x = 39,801.28 × 7,813.38
  4. Step 4: Simplify right side
    26,538.44x = 310,982,525.13
  5. Step 5: Solve for x
    x = 310,982,525.13/26,538.44
  6. Step 6: Final answer
    x = 11,718.19

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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.