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Finding the Fourth Proportional to 12,481.71, 17,224.80 and 6,816.51

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Solution

The fourth proportional to 12,481.71, 17,224.80 and 6,816.51 is: 9,406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,481.71 : 17,224.80 = 6,816.51 : x
  2. Step 2: Convert to fraction form
    12,481.71/17,224.80 = 6,816.51/x
  3. Step 3: Cross multiply
    12,481.71x = 17,224.80 × 6,816.51
  4. Step 4: Simplify right side
    12,481.71x = 117,413,021.45
  5. Step 5: Solve for x
    x = 117,413,021.45/12,481.71
  6. Step 6: Final answer
    x = 9,406.81

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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.