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Finding the Fourth Proportional to 30,990.92, 42,765.72 and 16,843.66

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Solution

The fourth proportional to 30,990.92, 42,765.72 and 16,843.66 is: 23,243.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,990.92 : 42,765.72 = 16,843.66 : x
  2. Step 2: Convert to fraction form
    30,990.92/42,765.72 = 16,843.66/x
  3. Step 3: Cross multiply
    30,990.92x = 42,765.72 × 16,843.66
  4. Step 4: Simplify right side
    30,990.92x = 720,331,247.34
  5. Step 5: Solve for x
    x = 720,331,247.34/30,990.92
  6. Step 6: Final answer
    x = 23,243.30

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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.