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Finding the Fourth Proportional to 26,614.44, 36,727.08 and 14,678

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Solution

The fourth proportional to 26,614.44, 36,727.08 and 14,678 is: 20,255.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,614.44 : 36,727.08 = 14,678 : x
  2. Step 2: Convert to fraction form
    26,614.44/36,727.08 = 14,678/x
  3. Step 3: Cross multiply
    26,614.44x = 36,727.08 × 14,678
  4. Step 4: Simplify right side
    26,614.44x = 539,080,080.24
  5. Step 5: Solve for x
    x = 539,080,080.24/26,614.44
  6. Step 6: Final answer
    x = 20,255.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.