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Finding the Fourth Proportional to 26,415.24, 39,620.84 and 7,695.42

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Solution

The fourth proportional to 26,415.24, 39,620.84 and 7,695.42 is: 11,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,415.24 : 39,620.84 = 7,695.42 : x
  2. Step 2: Convert to fraction form
    26,415.24/39,620.84 = 7,695.42/x
  3. Step 3: Cross multiply
    26,415.24x = 39,620.84 × 7,695.42
  4. Step 4: Simplify right side
    26,415.24x = 304,899,004.55
  5. Step 5: Solve for x
    x = 304,899,004.55/26,415.24
  6. Step 6: Final answer
    x = 11,542.54

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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.