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Finding the Fourth Proportional to 16,057.38, 24,089.10 and 6,197.64

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Solution

The fourth proportional to 16,057.38, 24,089.10 and 6,197.64 is: 9,297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.38 : 24,089.10 = 6,197.64 : x
  2. Step 2: Convert to fraction form
    16,057.38/24,089.10 = 6,197.64/x
  3. Step 3: Cross multiply
    16,057.38x = 24,089.10 × 6,197.64
  4. Step 4: Simplify right side
    16,057.38x = 149,295,569.72
  5. Step 5: Solve for x
    x = 149,295,569.72/16,057.38
  6. Step 6: Final answer
    x = 9,297.63

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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.