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Finding the Fourth Proportional to 22,133.68, 33,197.28 and 11,600.17

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Solution

The fourth proportional to 22,133.68, 33,197.28 and 11,600.17 is: 17,398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,133.68 : 33,197.28 = 11,600.17 : x
  2. Step 2: Convert to fraction form
    22,133.68/33,197.28 = 11,600.17/x
  3. Step 3: Cross multiply
    22,133.68x = 33,197.28 × 11,600.17
  4. Step 4: Simplify right side
    22,133.68x = 385,094,091.54
  5. Step 5: Solve for x
    x = 385,094,091.54/22,133.68
  6. Step 6: Final answer
    x = 17,398.56

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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.