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Finding the Fourth Proportional to 26,855.28, 40,283.72 and 12,816.80

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Solution

The fourth proportional to 26,855.28, 40,283.72 and 12,816.80 is: 19,225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,855.28 : 40,283.72 = 12,816.80 : x
  2. Step 2: Convert to fraction form
    26,855.28/40,283.72 = 12,816.80/x
  3. Step 3: Cross multiply
    26,855.28x = 40,283.72 × 12,816.80
  4. Step 4: Simplify right side
    26,855.28x = 516,308,181.08
  5. Step 5: Solve for x
    x = 516,308,181.08/26,855.28
  6. Step 6: Final answer
    x = 19,225.57

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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.