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Finding the Fourth Proportional to 26,856.66, 40,287.78 and 12,814.32

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Solution

The fourth proportional to 26,856.66, 40,287.78 and 12,814.32 is: 19,222.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,856.66 : 40,287.78 = 12,814.32 : x
  2. Step 2: Convert to fraction form
    26,856.66/40,287.78 = 12,814.32/x
  3. Step 3: Cross multiply
    26,856.66x = 40,287.78 × 12,814.32
  4. Step 4: Simplify right side
    26,856.66x = 516,260,505.01
  5. Step 5: Solve for x
    x = 516,260,505.01/26,856.66
  6. Step 6: Final answer
    x = 19,222.81

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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.