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Finding the Fourth Proportional to 26,429.12, 39,643.68 and 7,961.12

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Solution

The fourth proportional to 26,429.12, 39,643.68 and 7,961.12 is: 11,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,429.12 : 39,643.68 = 7,961.12 : x
  2. Step 2: Convert to fraction form
    26,429.12/39,643.68 = 7,961.12/x
  3. Step 3: Cross multiply
    26,429.12x = 39,643.68 × 7,961.12
  4. Step 4: Simplify right side
    26,429.12x = 315,608,093.72
  5. Step 5: Solve for x
    x = 315,608,093.72/26,429.12
  6. Step 6: Final answer
    x = 11,941.68

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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.