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Finding the Fourth Proportional to 12,540.14, 17,308.77 and 7,821.62

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Solution

The fourth proportional to 12,540.14, 17,308.77 and 7,821.62 is: 10,795.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,540.14 : 17,308.77 = 7,821.62 : x
  2. Step 2: Convert to fraction form
    12,540.14/17,308.77 = 7,821.62/x
  3. Step 3: Cross multiply
    12,540.14x = 17,308.77 × 7,821.62
  4. Step 4: Simplify right side
    12,540.14x = 135,382,621.61
  5. Step 5: Solve for x
    x = 135,382,621.61/12,540.14
  6. Step 6: Final answer
    x = 10,795.94

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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.