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Finding the Fourth Proportional to 16,233.14, 22,402.08 and 8,965.21

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Solution

The fourth proportional to 16,233.14, 22,402.08 and 8,965.21 is: 12,372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233.14 : 22,402.08 = 8,965.21 : x
  2. Step 2: Convert to fraction form
    16,233.14/22,402.08 = 8,965.21/x
  3. Step 3: Cross multiply
    16,233.14x = 22,402.08 × 8,965.21
  4. Step 4: Simplify right side
    16,233.14x = 200,839,362.85
  5. Step 5: Solve for x
    x = 200,839,362.85/16,233.14
  6. Step 6: Final answer
    x = 12,372.18

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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.