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Finding the Fourth Proportional to 16,003.14, 24,021.62 and 8,989.15

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Solution

The fourth proportional to 16,003.14, 24,021.62 and 8,989.15 is: 13,493.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.14 : 24,021.62 = 8,989.15 : x
  2. Step 2: Convert to fraction form
    16,003.14/24,021.62 = 8,989.15/x
  3. Step 3: Cross multiply
    16,003.14x = 24,021.62 × 8,989.15
  4. Step 4: Simplify right side
    16,003.14x = 215,933,945.42
  5. Step 5: Solve for x
    x = 215,933,945.42/16,003.14
  6. Step 6: Final answer
    x = 13,493.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.