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Finding the Fourth Proportional to 16,633.14, 22,953.72 and 9,181.14

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Solution

The fourth proportional to 16,633.14, 22,953.72 and 9,181.14 is: 12,669.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,633.14 : 22,953.72 = 9,181.14 : x
  2. Step 2: Convert to fraction form
    16,633.14/22,953.72 = 9,181.14/x
  3. Step 3: Cross multiply
    16,633.14x = 22,953.72 × 9,181.14
  4. Step 4: Simplify right side
    16,633.14x = 210,741,316.84
  5. Step 5: Solve for x
    x = 210,741,316.84/16,633.14
  6. Step 6: Final answer
    x = 12,669.97

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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.