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Finding the Fourth Proportional to 16,574.64, 22,872.33 and 9,496.14

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Solution

The fourth proportional to 16,574.64, 22,872.33 and 9,496.14 is: 13,104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574.64 : 22,872.33 = 9,496.14 : x
  2. Step 2: Convert to fraction form
    16,574.64/22,872.33 = 9,496.14/x
  3. Step 3: Cross multiply
    16,574.64x = 22,872.33 × 9,496.14
  4. Step 4: Simplify right side
    16,574.64x = 217,198,847.81
  5. Step 5: Solve for x
    x = 217,198,847.81/16,574.64
  6. Step 6: Final answer
    x = 13,104.29

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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.