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Finding the Fourth Proportional to 19,774.26, 27,297.37 and 12,613.83

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Solution

The fourth proportional to 19,774.26, 27,297.37 and 12,613.83 is: 17,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.26 : 27,297.37 = 12,613.83 : x
  2. Step 2: Convert to fraction form
    19,774.26/27,297.37 = 12,613.83/x
  3. Step 3: Cross multiply
    19,774.26x = 27,297.37 × 12,613.83
  4. Step 4: Simplify right side
    19,774.26x = 344,324,298.03
  5. Step 5: Solve for x
    x = 344,324,298.03/19,774.26
  6. Step 6: Final answer
    x = 17,412.75

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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.