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Finding the Fourth Proportional to 12,815.24, 17,684.42 and 7,150.44

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Solution

The fourth proportional to 12,815.24, 17,684.42 and 7,150.44 is: 9,867.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.24 : 17,684.42 = 7,150.44 : x
  2. Step 2: Convert to fraction form
    12,815.24/17,684.42 = 7,150.44/x
  3. Step 3: Cross multiply
    12,815.24x = 17,684.42 × 7,150.44
  4. Step 4: Simplify right side
    12,815.24x = 126,451,384.14
  5. Step 5: Solve for x
    x = 126,451,384.14/12,815.24
  6. Step 6: Final answer
    x = 9,867.27

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