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Finding the Fourth Proportional to 22,633.66, 33,958.59 and 11,543.14

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Solution

The fourth proportional to 22,633.66, 33,958.59 and 11,543.14 is: 17,318.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.66 : 33,958.59 = 11,543.14 : x
  2. Step 2: Convert to fraction form
    22,633.66/33,958.59 = 11,543.14/x
  3. Step 3: Cross multiply
    22,633.66x = 33,958.59 × 11,543.14
  4. Step 4: Simplify right side
    22,633.66x = 391,988,758.57
  5. Step 5: Solve for x
    x = 391,988,758.57/22,633.66
  6. Step 6: Final answer
    x = 17,318.84

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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.