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Finding the Fourth Proportional to 12,481.69, 17,224.63 and 7,449.16

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Solution

The fourth proportional to 12,481.69, 17,224.63 and 7,449.16 is: 10,279.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,481.69 : 17,224.63 = 7,449.16 : x
  2. Step 2: Convert to fraction form
    12,481.69/17,224.63 = 7,449.16/x
  3. Step 3: Cross multiply
    12,481.69x = 17,224.63 × 7,449.16
  4. Step 4: Simplify right side
    12,481.69x = 128,309,024.81
  5. Step 5: Solve for x
    x = 128,309,024.81/12,481.69
  6. Step 6: Final answer
    x = 10,279.78

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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.