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Finding the Fourth Proportional to 12,811.29, 17,679.51 and 7,146.09

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Solution

The fourth proportional to 12,811.29, 17,679.51 and 7,146.09 is: 9,861.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.29 : 17,679.51 = 7,146.09 : x
  2. Step 2: Convert to fraction form
    12,811.29/17,679.51 = 7,146.09/x
  3. Step 3: Cross multiply
    12,811.29x = 17,679.51 × 7,146.09
  4. Step 4: Simplify right side
    12,811.29x = 126,339,369.62
  5. Step 5: Solve for x
    x = 126,339,369.62/12,811.29
  6. Step 6: Final answer
    x = 9,861.57

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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.