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Finding the Fourth Proportional to 12,679.34, 17,491.60 and 8,204.54

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Solution

The fourth proportional to 12,679.34, 17,491.60 and 8,204.54 is: 11,318.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,679.34 : 17,491.60 = 8,204.54 : x
  2. Step 2: Convert to fraction form
    12,679.34/17,491.60 = 8,204.54/x
  3. Step 3: Cross multiply
    12,679.34x = 17,491.60 × 8,204.54
  4. Step 4: Simplify right side
    12,679.34x = 143,510,423.89
  5. Step 5: Solve for x
    x = 143,510,423.89/12,679.34
  6. Step 6: Final answer
    x = 11,318.44

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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.