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Finding the Fourth Proportional to 16,003.64, 24,022.38 and 8,989.65

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Solution

The fourth proportional to 16,003.64, 24,022.38 and 8,989.65 is: 13,493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.64 : 24,022.38 = 8,989.65 : x
  2. Step 2: Convert to fraction form
    16,003.64/24,022.38 = 8,989.65/x
  3. Step 3: Cross multiply
    16,003.64x = 24,022.38 × 8,989.65
  4. Step 4: Simplify right side
    16,003.64x = 215,952,788.37
  5. Step 5: Solve for x
    x = 215,952,788.37/16,003.64
  6. Step 6: Final answer
    x = 13,493.98

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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.