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Finding the Fourth Proportional to 22,004.28, 33,008.49 and 7,967.84

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Solution

The fourth proportional to 22,004.28, 33,008.49 and 7,967.84 is: 11,952.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,004.28 : 33,008.49 = 7,967.84 : x
  2. Step 2: Convert to fraction form
    22,004.28/33,008.49 = 7,967.84/x
  3. Step 3: Cross multiply
    22,004.28x = 33,008.49 × 7,967.84
  4. Step 4: Simplify right side
    22,004.28x = 263,006,458.02
  5. Step 5: Solve for x
    x = 263,006,458.02/22,004.28
  6. Step 6: Final answer
    x = 11,952.51

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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.