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Finding the Fourth Proportional to 11,922.69, 17,882.00 and 3,158.49

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Solution

The fourth proportional to 11,922.69, 17,882.00 and 3,158.49 is: 4,737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.69 : 17,882.00 = 3,158.49 : x
  2. Step 2: Convert to fraction form
    11,922.69/17,882.00 = 3,158.49/x
  3. Step 3: Cross multiply
    11,922.69x = 17,882.00 × 3,158.49
  4. Step 4: Simplify right side
    11,922.69x = 56,480,102.39
  5. Step 5: Solve for x
    x = 56,480,102.39/11,922.69
  6. Step 6: Final answer
    x = 4,737.19

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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.