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Finding the Fourth Proportional to 22,596.36, 33,928.56 and 13,867.80

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Solution

The fourth proportional to 22,596.36, 33,928.56 and 13,867.80 is: 20,822.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596.36 : 33,928.56 = 13,867.80 : x
  2. Step 2: Convert to fraction form
    22,596.36/33,928.56 = 13,867.80/x
  3. Step 3: Cross multiply
    22,596.36x = 33,928.56 × 13,867.80
  4. Step 4: Simplify right side
    22,596.36x = 470,514,484.37
  5. Step 5: Solve for x
    x = 470,514,484.37/22,596.36
  6. Step 6: Final answer
    x = 20,822.58

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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.