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Finding the Fourth Proportional to 30,990.39, 42,767.07 and 16,843.24

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Solution

The fourth proportional to 30,990.39, 42,767.07 and 16,843.24 is: 23,243.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,990.39 : 42,767.07 = 16,843.24 : x
  2. Step 2: Convert to fraction form
    30,990.39/42,767.07 = 16,843.24/x
  3. Step 3: Cross multiply
    30,990.39x = 42,767.07 × 16,843.24
  4. Step 4: Simplify right side
    30,990.39x = 720,336,024.11
  5. Step 5: Solve for x
    x = 720,336,024.11/30,990.39
  6. Step 6: Final answer
    x = 23,243.85

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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.