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Finding the Fourth Proportional to 12,815.08, 17,685.71 and 7,150.21

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Solution

The fourth proportional to 12,815.08, 17,685.71 and 7,150.21 is: 9,867.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.08 : 17,685.71 = 7,150.21 : x
  2. Step 2: Convert to fraction form
    12,815.08/17,685.71 = 7,150.21/x
  3. Step 3: Cross multiply
    12,815.08x = 17,685.71 × 7,150.21
  4. Step 4: Simplify right side
    12,815.08x = 126,456,487.35
  5. Step 5: Solve for x
    x = 126,456,487.35/12,815.08
  6. Step 6: Final answer
    x = 9,867.79

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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.