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Finding the Fourth Proportional to 26,816.40, 40,224.63 and 13,678

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Solution

The fourth proportional to 26,816.40, 40,224.63 and 13,678 is: 20,517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,816.40 : 40,224.63 = 13,678 : x
  2. Step 2: Convert to fraction form
    26,816.40/40,224.63 = 13,678/x
  3. Step 3: Cross multiply
    26,816.40x = 40,224.63 × 13,678
  4. Step 4: Simplify right side
    26,816.40x = 550,192,489.14
  5. Step 5: Solve for x
    x = 550,192,489.14/26,816.40
  6. Step 6: Final answer
    x = 20,517.02

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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.