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Finding the Fourth Proportional to 26,406.53, 39,616.28 and 7,686.73

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Solution

The fourth proportional to 26,406.53, 39,616.28 and 7,686.73 is: 11,531.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,406.53 : 39,616.28 = 7,686.73 : x
  2. Step 2: Convert to fraction form
    26,406.53/39,616.28 = 7,686.73/x
  3. Step 3: Cross multiply
    26,406.53x = 39,616.28 × 7,686.73
  4. Step 4: Simplify right side
    26,406.53x = 304,519,647.96
  5. Step 5: Solve for x
    x = 304,519,647.96/26,406.53
  6. Step 6: Final answer
    x = 11,531.98

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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.