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Finding the Fourth Proportional to 12,620.16, 17,414.97 and 7,581.39

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Solution

The fourth proportional to 12,620.16, 17,414.97 and 7,581.39 is: 10,461.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,620.16 : 17,414.97 = 7,581.39 : x
  2. Step 2: Convert to fraction form
    12,620.16/17,414.97 = 7,581.39/x
  3. Step 3: Cross multiply
    12,620.16x = 17,414.97 × 7,581.39
  4. Step 4: Simplify right side
    12,620.16x = 132,029,679.41
  5. Step 5: Solve for x
    x = 132,029,679.41/12,620.16
  6. Step 6: Final answer
    x = 10,461.81

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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.