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Finding the Fourth Proportional to 16,489.16, 24,736.78 and 5,396.47

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Solution

The fourth proportional to 16,489.16, 24,736.78 and 5,396.47 is: 8,095.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.16 : 24,736.78 = 5,396.47 : x
  2. Step 2: Convert to fraction form
    16,489.16/24,736.78 = 5,396.47/x
  3. Step 3: Cross multiply
    16,489.16x = 24,736.78 × 5,396.47
  4. Step 4: Simplify right side
    16,489.16x = 133,491,140.50
  5. Step 5: Solve for x
    x = 133,491,140.50/16,489.16
  6. Step 6: Final answer
    x = 8,095.69

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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.