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Finding the Fourth Proportional to 15,509.84, 23,241.66 and 6,739.96

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Solution

The fourth proportional to 15,509.84, 23,241.66 and 6,739.96 is: 10,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.84 : 23,241.66 = 6,739.96 : x
  2. Step 2: Convert to fraction form
    15,509.84/23,241.66 = 6,739.96/x
  3. Step 3: Cross multiply
    15,509.84x = 23,241.66 × 6,739.96
  4. Step 4: Simplify right side
    15,509.84x = 156,647,858.73
  5. Step 5: Solve for x
    x = 156,647,858.73/15,509.84
  6. Step 6: Final answer
    x = 10,099.90

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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.