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Finding the Fourth Proportional to 20,809.08, 31,228.50 and 8,321.88

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Solution

The fourth proportional to 20,809.08, 31,228.50 and 8,321.88 is: 12,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.08 : 31,228.50 = 8,321.88 : x
  2. Step 2: Convert to fraction form
    20,809.08/31,228.50 = 8,321.88/x
  3. Step 3: Cross multiply
    20,809.08x = 31,228.50 × 8,321.88
  4. Step 4: Simplify right side
    20,809.08x = 259,879,829.58
  5. Step 5: Solve for x
    x = 259,879,829.58/20,809.08
  6. Step 6: Final answer
    x = 12,488.77

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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.