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Finding the Fourth Proportional to 16,201.72, 24,284.49 and 6,838.93

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Solution

The fourth proportional to 16,201.72, 24,284.49 and 6,838.93 is: 10,250.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.72 : 24,284.49 = 6,838.93 : x
  2. Step 2: Convert to fraction form
    16,201.72/24,284.49 = 6,838.93/x
  3. Step 3: Cross multiply
    16,201.72x = 24,284.49 × 6,838.93
  4. Step 4: Simplify right side
    16,201.72x = 166,079,927.20
  5. Step 5: Solve for x
    x = 166,079,927.20/16,201.72
  6. Step 6: Final answer
    x = 10,250.76

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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.