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Finding the Fourth Proportional to 22,433.28, 33,648.64 and 6,016

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Solution

The fourth proportional to 22,433.28, 33,648.64 and 6,016 is: 9,023.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,433.28 : 33,648.64 = 6,016 : x
  2. Step 2: Convert to fraction form
    22,433.28/33,648.64 = 6,016/x
  3. Step 3: Cross multiply
    22,433.28x = 33,648.64 × 6,016
  4. Step 4: Simplify right side
    22,433.28x = 202,430,218.24
  5. Step 5: Solve for x
    x = 202,430,218.24/22,433.28
  6. Step 6: Final answer
    x = 9,023.66

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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.