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Finding the Fourth Proportional to 12,891.69, 17,792.15 and 7,857.49

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Solution

The fourth proportional to 12,891.69, 17,792.15 and 7,857.49 is: 10,844.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,891.69 : 17,792.15 = 7,857.49 : x
  2. Step 2: Convert to fraction form
    12,891.69/17,792.15 = 7,857.49/x
  3. Step 3: Cross multiply
    12,891.69x = 17,792.15 × 7,857.49
  4. Step 4: Simplify right side
    12,891.69x = 139,801,697.32
  5. Step 5: Solve for x
    x = 139,801,697.32/12,891.69
  6. Step 6: Final answer
    x = 10,844.33

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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.