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Finding the Fourth Proportional to 20,488.80, 30,733.02 and 11,254.80

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Solution

The fourth proportional to 20,488.80, 30,733.02 and 11,254.80 is: 16,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,488.80 : 30,733.02 = 11,254.80 : x
  2. Step 2: Convert to fraction form
    20,488.80/30,733.02 = 11,254.80/x
  3. Step 3: Cross multiply
    20,488.80x = 30,733.02 × 11,254.80
  4. Step 4: Simplify right side
    20,488.80x = 345,893,993.50
  5. Step 5: Solve for x
    x = 345,893,993.50/20,488.80
  6. Step 6: Final answer
    x = 16,882.10

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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.