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Finding the Fourth Proportional to 16,648.13, 22,974.42 and 9,196.61

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Solution

The fourth proportional to 16,648.13, 22,974.42 and 9,196.61 is: 12,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,648.13 : 22,974.42 = 9,196.61 : x
  2. Step 2: Convert to fraction form
    16,648.13/22,974.42 = 9,196.61/x
  3. Step 3: Cross multiply
    16,648.13x = 22,974.42 × 9,196.61
  4. Step 4: Simplify right side
    16,648.13x = 211,286,665.84
  5. Step 5: Solve for x
    x = 211,286,665.84/16,648.13
  6. Step 6: Final answer
    x = 12,691.32

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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.