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Finding the Fourth Proportional to 26,965.94, 40,449 and 8,245.90

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Solution

The fourth proportional to 26,965.94, 40,449 and 8,245.90 is: 12,368.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,965.94 : 40,449 = 8,245.90 : x
  2. Step 2: Convert to fraction form
    26,965.94/40,449 = 8,245.90/x
  3. Step 3: Cross multiply
    26,965.94x = 40,449 × 8,245.90
  4. Step 4: Simplify right side
    26,965.94x = 333,538,409.10
  5. Step 5: Solve for x
    x = 333,538,409.10/26,965.94
  6. Step 6: Final answer
    x = 12,368.88

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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.