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Finding the Fourth Proportional to 15,078.25, 20,808 and 8,789.41

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Solution

The fourth proportional to 15,078.25, 20,808 and 8,789.41 is: 12,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078.25 : 20,808 = 8,789.41 : x
  2. Step 2: Convert to fraction form
    15,078.25/20,808 = 8,789.41/x
  3. Step 3: Cross multiply
    15,078.25x = 20,808 × 8,789.41
  4. Step 4: Simplify right side
    15,078.25x = 182,890,043.28
  5. Step 5: Solve for x
    x = 182,890,043.28/15,078.25
  6. Step 6: Final answer
    x = 12,129.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.