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Finding the Fourth Proportional to 30,974.09, 42,743.31 and 16,826.90

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Solution

The fourth proportional to 30,974.09, 42,743.31 and 16,826.90 is: 23,220.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,974.09 : 42,743.31 = 16,826.90 : x
  2. Step 2: Convert to fraction form
    30,974.09/42,743.31 = 16,826.90/x
  3. Step 3: Cross multiply
    30,974.09x = 42,743.31 × 16,826.90
  4. Step 4: Simplify right side
    30,974.09x = 719,237,403.04
  5. Step 5: Solve for x
    x = 719,237,403.04/30,974.09
  6. Step 6: Final answer
    x = 23,220.61

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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.