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Finding the Fourth Proportional to 12,414.92, 17,112.60 and 10,172.84

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Solution

The fourth proportional to 12,414.92, 17,112.60 and 10,172.84 is: 14,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.92 : 17,112.60 = 10,172.84 : x
  2. Step 2: Convert to fraction form
    12,414.92/17,112.60 = 10,172.84/x
  3. Step 3: Cross multiply
    12,414.92x = 17,112.60 × 10,172.84
  4. Step 4: Simplify right side
    12,414.92x = 174,083,741.78
  5. Step 5: Solve for x
    x = 174,083,741.78/12,414.92
  6. Step 6: Final answer
    x = 14,022.14

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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.