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Finding the Fourth Proportional to 12,811.57, 17,679.67 and 7,146.23

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Solution

The fourth proportional to 12,811.57, 17,679.67 and 7,146.23 is: 9,861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.57 : 17,679.67 = 7,146.23 : x
  2. Step 2: Convert to fraction form
    12,811.57/17,679.67 = 7,146.23/x
  3. Step 3: Cross multiply
    12,811.57x = 17,679.67 × 7,146.23
  4. Step 4: Simplify right side
    12,811.57x = 126,342,881.88
  5. Step 5: Solve for x
    x = 126,342,881.88/12,811.57
  6. Step 6: Final answer
    x = 9,861.63

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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.