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Finding the Fourth Proportional to 16,967.21, 23,414.89 and 9,414.04

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Solution

The fourth proportional to 16,967.21, 23,414.89 and 9,414.04 is: 12,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,967.21 : 23,414.89 = 9,414.04 : x
  2. Step 2: Convert to fraction form
    16,967.21/23,414.89 = 9,414.04/x
  3. Step 3: Cross multiply
    16,967.21x = 23,414.89 × 9,414.04
  4. Step 4: Simplify right side
    16,967.21x = 220,428,711.06
  5. Step 5: Solve for x
    x = 220,428,711.06/16,967.21
  6. Step 6: Final answer
    x = 12,991.45

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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.