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Finding the Fourth Proportional to 16,487.82, 24,734.98 and 6,099.66

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Solution

The fourth proportional to 16,487.82, 24,734.98 and 6,099.66 is: 9,150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,487.82 : 24,734.98 = 6,099.66 : x
  2. Step 2: Convert to fraction form
    16,487.82/24,734.98 = 6,099.66/x
  3. Step 3: Cross multiply
    16,487.82x = 24,734.98 × 6,099.66
  4. Step 4: Simplify right side
    16,487.82x = 150,874,968.11
  5. Step 5: Solve for x
    x = 150,874,968.11/16,487.82
  6. Step 6: Final answer
    x = 9,150.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.