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Finding the Fourth Proportional to 16,633.84, 22,954.12 and 9,916

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Solution

The fourth proportional to 16,633.84, 22,954.12 and 9,916 is: 13,683.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,633.84 : 22,954.12 = 9,916 : x
  2. Step 2: Convert to fraction form
    16,633.84/22,954.12 = 9,916/x
  3. Step 3: Cross multiply
    16,633.84x = 22,954.12 × 9,916
  4. Step 4: Simplify right side
    16,633.84x = 227,613,053.92
  5. Step 5: Solve for x
    x = 227,613,053.92/16,633.84
  6. Step 6: Final answer
    x = 13,683.73

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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.