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Finding the Fourth Proportional to 16,974.32, 25,446.09 and 9,174.02

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Solution

The fourth proportional to 16,974.32, 25,446.09 and 9,174.02 is: 13,752.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,974.32 : 25,446.09 = 9,174.02 : x
  2. Step 2: Convert to fraction form
    16,974.32/25,446.09 = 9,174.02/x
  3. Step 3: Cross multiply
    16,974.32x = 25,446.09 × 9,174.02
  4. Step 4: Simplify right side
    16,974.32x = 233,442,938.58
  5. Step 5: Solve for x
    x = 233,442,938.58/16,974.32
  6. Step 6: Final answer
    x = 13,752.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.