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Finding the Fourth Proportional to 30,940.30, 42,697.74 and 16,793.16

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Solution

The fourth proportional to 30,940.30, 42,697.74 and 16,793.16 is: 23,174.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940.30 : 42,697.74 = 16,793.16 : x
  2. Step 2: Convert to fraction form
    30,940.30/42,697.74 = 16,793.16/x
  3. Step 3: Cross multiply
    30,940.30x = 42,697.74 × 16,793.16
  4. Step 4: Simplify right side
    30,940.30x = 717,029,979.46
  5. Step 5: Solve for x
    x = 717,029,979.46/30,940.30
  6. Step 6: Final answer
    x = 23,174.63

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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.