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Finding the Fourth Proportional to 26,429.24, 39,643.86 and 7,961.24

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Solution

The fourth proportional to 26,429.24, 39,643.86 and 7,961.24 is: 11,941.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,429.24 : 39,643.86 = 7,961.24 : x
  2. Step 2: Convert to fraction form
    26,429.24/39,643.86 = 7,961.24/x
  3. Step 3: Cross multiply
    26,429.24x = 39,643.86 × 7,961.24
  4. Step 4: Simplify right side
    26,429.24x = 315,614,283.99
  5. Step 5: Solve for x
    x = 315,614,283.99/26,429.24
  6. Step 6: Final answer
    x = 11,941.86

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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.