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Finding the Fourth Proportional to 20,584.88, 30,853.64 and 8,098.04

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Solution

The fourth proportional to 20,584.88, 30,853.64 and 8,098.04 is: 12,137.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584.88 : 30,853.64 = 8,098.04 : x
  2. Step 2: Convert to fraction form
    20,584.88/30,853.64 = 8,098.04/x
  3. Step 3: Cross multiply
    20,584.88x = 30,853.64 × 8,098.04
  4. Step 4: Simplify right side
    20,584.88x = 249,854,010.87
  5. Step 5: Solve for x
    x = 249,854,010.87/20,584.88
  6. Step 6: Final answer
    x = 12,137.74

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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.