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Finding the Fourth Proportional to 22,678.68, 31,297.22 and 13,727.80

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Solution

The fourth proportional to 22,678.68, 31,297.22 and 13,727.80 is: 18,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,678.68 : 31,297.22 = 13,727.80 : x
  2. Step 2: Convert to fraction form
    22,678.68/31,297.22 = 13,727.80/x
  3. Step 3: Cross multiply
    22,678.68x = 31,297.22 × 13,727.80
  4. Step 4: Simplify right side
    22,678.68x = 429,641,976.72
  5. Step 5: Solve for x
    x = 429,641,976.72/22,678.68
  6. Step 6: Final answer
    x = 18,944.75

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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.