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Finding the Fourth Proportional to 15,201.80, 22,794.60 and 6,426.80

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Solution

The fourth proportional to 15,201.80, 22,794.60 and 6,426.80 is: 9,636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201.80 : 22,794.60 = 6,426.80 : x
  2. Step 2: Convert to fraction form
    15,201.80/22,794.60 = 6,426.80/x
  3. Step 3: Cross multiply
    15,201.80x = 22,794.60 × 6,426.80
  4. Step 4: Simplify right side
    15,201.80x = 146,496,335.28
  5. Step 5: Solve for x
    x = 146,496,335.28/15,201.80
  6. Step 6: Final answer
    x = 9,636.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.