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Finding the Fourth Proportional to 30,990.42, 42,767.04 and 16,843.26

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Solution

The fourth proportional to 30,990.42, 42,767.04 and 16,843.26 is: 23,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,990.42 : 42,767.04 = 16,843.26 : x
  2. Step 2: Convert to fraction form
    30,990.42/42,767.04 = 16,843.26/x
  3. Step 3: Cross multiply
    30,990.42x = 42,767.04 × 16,843.26
  4. Step 4: Simplify right side
    30,990.42x = 720,336,374.15
  5. Step 5: Solve for x
    x = 720,336,374.15/30,990.42
  6. Step 6: Final answer
    x = 23,243.84

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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.