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Finding the Fourth Proportional to 26,798.32, 40,204.16 and 8,077.96

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Solution

The fourth proportional to 26,798.32, 40,204.16 and 8,077.96 is: 12,118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,798.32 : 40,204.16 = 8,077.96 : x
  2. Step 2: Convert to fraction form
    26,798.32/40,204.16 = 8,077.96/x
  3. Step 3: Cross multiply
    26,798.32x = 40,204.16 × 8,077.96
  4. Step 4: Simplify right side
    26,798.32x = 324,767,596.31
  5. Step 5: Solve for x
    x = 324,767,596.31/26,798.32
  6. Step 6: Final answer
    x = 12,118.95

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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.