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Finding the Fourth Proportional to 30,974.40, 42,744.60 and 16,827.12

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Solution

The fourth proportional to 30,974.40, 42,744.60 and 16,827.12 is: 23,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,974.40 : 42,744.60 = 16,827.12 : x
  2. Step 2: Convert to fraction form
    30,974.40/42,744.60 = 16,827.12/x
  3. Step 3: Cross multiply
    30,974.40x = 42,744.60 × 16,827.12
  4. Step 4: Simplify right side
    30,974.40x = 719,268,513.55
  5. Step 5: Solve for x
    x = 719,268,513.55/30,974.40
  6. Step 6: Final answer
    x = 23,221.39

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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.