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Finding the Fourth Proportional to 15,286.50, 22,898.46 and 9,027.62

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Solution

The fourth proportional to 15,286.50, 22,898.46 and 9,027.62 is: 13,522.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,286.50 : 22,898.46 = 9,027.62 : x
  2. Step 2: Convert to fraction form
    15,286.50/22,898.46 = 9,027.62/x
  3. Step 3: Cross multiply
    15,286.50x = 22,898.46 × 9,027.62
  4. Step 4: Simplify right side
    15,286.50x = 206,718,595.47
  5. Step 5: Solve for x
    x = 206,718,595.47/15,286.50
  6. Step 6: Final answer
    x = 13,522.95

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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.