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Finding the Fourth Proportional to 16,874.30, 23,286.06 and 9,320.49

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Solution

The fourth proportional to 16,874.30, 23,286.06 and 9,320.49 is: 12,862.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,874.30 : 23,286.06 = 9,320.49 : x
  2. Step 2: Convert to fraction form
    16,874.30/23,286.06 = 9,320.49/x
  3. Step 3: Cross multiply
    16,874.30x = 23,286.06 × 9,320.49
  4. Step 4: Simplify right side
    16,874.30x = 217,037,489.37
  5. Step 5: Solve for x
    x = 217,037,489.37/16,874.30
  6. Step 6: Final answer
    x = 12,862.02

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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.