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Finding the Fourth Proportional to 24,815.12, 37,217.07 and 7,286.31

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Solution

The fourth proportional to 24,815.12, 37,217.07 and 7,286.31 is: 10,927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,815.12 : 37,217.07 = 7,286.31 : x
  2. Step 2: Convert to fraction form
    24,815.12/37,217.07 = 7,286.31/x
  3. Step 3: Cross multiply
    24,815.12x = 37,217.07 × 7,286.31
  4. Step 4: Simplify right side
    24,815.12x = 271,175,109.31
  5. Step 5: Solve for x
    x = 271,175,109.31/24,815.12
  6. Step 6: Final answer
    x = 10,927.82

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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.