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Finding the Fourth Proportional to 22,033.17, 30,405.95 and 11,961.69

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Solution

The fourth proportional to 22,033.17, 30,405.95 and 11,961.69 is: 16,507.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,033.17 : 30,405.95 = 11,961.69 : x
  2. Step 2: Convert to fraction form
    22,033.17/30,405.95 = 11,961.69/x
  3. Step 3: Cross multiply
    22,033.17x = 30,405.95 × 11,961.69
  4. Step 4: Simplify right side
    22,033.17x = 363,706,488.25
  5. Step 5: Solve for x
    x = 363,706,488.25/22,033.17
  6. Step 6: Final answer
    x = 16,507.22

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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.