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Finding the Fourth Proportional to 26,401.95, 39,605.00 and 7,682.24

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Solution

The fourth proportional to 26,401.95, 39,605.00 and 7,682.24 is: 11,523.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,401.95 : 39,605.00 = 7,682.24 : x
  2. Step 2: Convert to fraction form
    26,401.95/39,605.00 = 7,682.24/x
  3. Step 3: Cross multiply
    26,401.95x = 39,605.00 × 7,682.24
  4. Step 4: Simplify right side
    26,401.95x = 304,255,219.01
  5. Step 5: Solve for x
    x = 304,255,219.01/26,401.95
  6. Step 6: Final answer
    x = 11,523.97

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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.