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Finding the Fourth Proportional to 26,744.81, 40,117.17 and 8,024.81

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Solution

The fourth proportional to 26,744.81, 40,117.17 and 8,024.81 is: 12,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,744.81 : 40,117.17 = 8,024.81 : x
  2. Step 2: Convert to fraction form
    26,744.81/40,117.17 = 8,024.81/x
  3. Step 3: Cross multiply
    26,744.81x = 40,117.17 × 8,024.81
  4. Step 4: Simplify right side
    26,744.81x = 321,932,665.74
  5. Step 5: Solve for x
    x = 321,932,665.74/26,744.81
  6. Step 6: Final answer
    x = 12,037.20

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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.