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Finding the Fourth Proportional to 16,201.33, 24,311.56 and 6,840.74

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Solution

The fourth proportional to 16,201.33, 24,311.56 and 6,840.74 is: 10,265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.33 : 24,311.56 = 6,840.74 : x
  2. Step 2: Convert to fraction form
    16,201.33/24,311.56 = 6,840.74/x
  3. Step 3: Cross multiply
    16,201.33x = 24,311.56 × 6,840.74
  4. Step 4: Simplify right side
    16,201.33x = 166,309,080.42
  5. Step 5: Solve for x
    x = 166,309,080.42/16,201.33
  6. Step 6: Final answer
    x = 10,265.15

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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.