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Finding the Fourth Proportional to 12,811.79, 17,679.60 and 7,147.13

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Solution

The fourth proportional to 12,811.79, 17,679.60 and 7,147.13 is: 9,862.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.79 : 17,679.60 = 7,147.13 : x
  2. Step 2: Convert to fraction form
    12,811.79/17,679.60 = 7,147.13/x
  3. Step 3: Cross multiply
    12,811.79x = 17,679.60 × 7,147.13
  4. Step 4: Simplify right side
    12,811.79x = 126,358,399.55
  5. Step 5: Solve for x
    x = 126,358,399.55/12,811.79
  6. Step 6: Final answer
    x = 9,862.67

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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.