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Finding the Fourth Proportional to 16,662.42, 22,996.16 and 9,588.69

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Solution

The fourth proportional to 16,662.42, 22,996.16 and 9,588.69 is: 13,233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,662.42 : 22,996.16 = 9,588.69 : x
  2. Step 2: Convert to fraction form
    16,662.42/22,996.16 = 9,588.69/x
  3. Step 3: Cross multiply
    16,662.42x = 22,996.16 × 9,588.69
  4. Step 4: Simplify right side
    16,662.42x = 220,503,049.43
  5. Step 5: Solve for x
    x = 220,503,049.43/16,662.42
  6. Step 6: Final answer
    x = 13,233.55

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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.