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Finding the Fourth Proportional to 16,099.64, 24,156.41 and 8,709.30

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Solution

The fourth proportional to 16,099.64, 24,156.41 and 8,709.30 is: 13,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099.64 : 24,156.41 = 8,709.30 : x
  2. Step 2: Convert to fraction form
    16,099.64/24,156.41 = 8,709.30/x
  3. Step 3: Cross multiply
    16,099.64x = 24,156.41 × 8,709.30
  4. Step 4: Simplify right side
    16,099.64x = 210,385,287.48
  5. Step 5: Solve for x
    x = 210,385,287.48/16,099.64
  6. Step 6: Final answer
    x = 13,067.71

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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.