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Finding the Fourth Proportional to 22,459.88, 33,689.67 and 5,819.87

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Solution

The fourth proportional to 22,459.88, 33,689.67 and 5,819.87 is: 8,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,459.88 : 33,689.67 = 5,819.87 : x
  2. Step 2: Convert to fraction form
    22,459.88/33,689.67 = 5,819.87/x
  3. Step 3: Cross multiply
    22,459.88x = 33,689.67 × 5,819.87
  4. Step 4: Simplify right side
    22,459.88x = 196,069,331.29
  5. Step 5: Solve for x
    x = 196,069,331.29/22,459.88
  6. Step 6: Final answer
    x = 8,729.76

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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.