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Finding the Fourth Proportional to 12,446.94, 17,190.60 and 8,461.14

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Solution

The fourth proportional to 12,446.94, 17,190.60 and 8,461.14 is: 11,685.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.94 : 17,190.60 = 8,461.14 : x
  2. Step 2: Convert to fraction form
    12,446.94/17,190.60 = 8,461.14/x
  3. Step 3: Cross multiply
    12,446.94x = 17,190.60 × 8,461.14
  4. Step 4: Simplify right side
    12,446.94x = 145,452,073.28
  5. Step 5: Solve for x
    x = 145,452,073.28/12,446.94
  6. Step 6: Final answer
    x = 11,685.77

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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.