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Finding the Fourth Proportional to 16,300.68, 22,494.96 and 9,229.38

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Solution

The fourth proportional to 16,300.68, 22,494.96 and 9,229.38 is: 12,736.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,300.68 : 22,494.96 = 9,229.38 : x
  2. Step 2: Convert to fraction form
    16,300.68/22,494.96 = 9,229.38/x
  3. Step 3: Cross multiply
    16,300.68x = 22,494.96 × 9,229.38
  4. Step 4: Simplify right side
    16,300.68x = 207,614,533.92
  5. Step 5: Solve for x
    x = 207,614,533.92/16,300.68
  6. Step 6: Final answer
    x = 12,736.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.