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Finding the Fourth Proportional to 26,295.85, 39,434.04 and 7,569.56

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Solution

The fourth proportional to 26,295.85, 39,434.04 and 7,569.56 is: 11,351.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,295.85 : 39,434.04 = 7,569.56 : x
  2. Step 2: Convert to fraction form
    26,295.85/39,434.04 = 7,569.56/x
  3. Step 3: Cross multiply
    26,295.85x = 39,434.04 × 7,569.56
  4. Step 4: Simplify right side
    26,295.85x = 298,498,331.82
  5. Step 5: Solve for x
    x = 298,498,331.82/26,295.85
  6. Step 6: Final answer
    x = 11,351.54

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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.