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Finding the Fourth Proportional to 20,032, 27,645.44 and 11,200

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Solution

The fourth proportional to 20,032, 27,645.44 and 11,200 is: 15,456.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032 : 27,645.44 = 11,200 : x
  2. Step 2: Convert to fraction form
    20,032/27,645.44 = 11,200/x
  3. Step 3: Cross multiply
    20,032x = 27,645.44 × 11,200
  4. Step 4: Simplify right side
    20,032x = 309,628,928
  5. Step 5: Solve for x
    x = 309,628,928/20,032
  6. Step 6: Final answer
    x = 15,456.72

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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.