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Finding the Fourth Proportional to 16,689.24, 23,033.25 and 9,974.88

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Solution

The fourth proportional to 16,689.24, 23,033.25 and 9,974.88 is: 13,766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,689.24 : 23,033.25 = 9,974.88 : x
  2. Step 2: Convert to fraction form
    16,689.24/23,033.25 = 9,974.88/x
  3. Step 3: Cross multiply
    16,689.24x = 23,033.25 × 9,974.88
  4. Step 4: Simplify right side
    16,689.24x = 229,753,904.76
  5. Step 5: Solve for x
    x = 229,753,904.76/16,689.24
  6. Step 6: Final answer
    x = 13,766.59

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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.