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Finding the Fourth Proportional to 12,553.76, 18,824.19 and 6,633.81

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Solution

The fourth proportional to 12,553.76, 18,824.19 and 6,633.81 is: 9,947.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,553.76 : 18,824.19 = 6,633.81 : x
  2. Step 2: Convert to fraction form
    12,553.76/18,824.19 = 6,633.81/x
  3. Step 3: Cross multiply
    12,553.76x = 18,824.19 × 6,633.81
  4. Step 4: Simplify right side
    12,553.76x = 124,876,099.86
  5. Step 5: Solve for x
    x = 124,876,099.86/12,553.76
  6. Step 6: Final answer
    x = 9,947.31

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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.