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Finding the Fourth Proportional to 26,997.92, 40,498.10 and 8,276.59

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Solution

The fourth proportional to 26,997.92, 40,498.10 and 8,276.59 is: 12,415.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,997.92 : 40,498.10 = 8,276.59 : x
  2. Step 2: Convert to fraction form
    26,997.92/40,498.10 = 8,276.59/x
  3. Step 3: Cross multiply
    26,997.92x = 40,498.10 × 8,276.59
  4. Step 4: Simplify right side
    26,997.92x = 335,186,169.48
  5. Step 5: Solve for x
    x = 335,186,169.48/26,997.92
  6. Step 6: Final answer
    x = 12,415.26

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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.