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Finding the Fourth Proportional to 30,974.67, 42,744.92 and 16,827.62

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Solution

The fourth proportional to 30,974.67, 42,744.92 and 16,827.62 is: 23,222.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,974.67 : 42,744.92 = 16,827.62 : x
  2. Step 2: Convert to fraction form
    30,974.67/42,744.92 = 16,827.62/x
  3. Step 3: Cross multiply
    30,974.67x = 42,744.92 × 16,827.62
  4. Step 4: Simplify right side
    30,974.67x = 719,294,972.83
  5. Step 5: Solve for x
    x = 719,294,972.83/30,974.67
  6. Step 6: Final answer
    x = 23,222.04

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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.