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Finding the Fourth Proportional to 16,662.42, 22,996.64 and 9,587.48

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Solution

The fourth proportional to 16,662.42, 22,996.64 and 9,587.48 is: 13,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,662.42 : 22,996.64 = 9,587.48 : x
  2. Step 2: Convert to fraction form
    16,662.42/22,996.64 = 9,587.48/x
  3. Step 3: Cross multiply
    16,662.42x = 22,996.64 × 9,587.48
  4. Step 4: Simplify right side
    16,662.42x = 220,479,735.05
  5. Step 5: Solve for x
    x = 220,479,735.05/16,662.42
  6. Step 6: Final answer
    x = 13,232.16

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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.