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Finding the Fourth Proportional to 12,813.14, 17,682.24 and 7,148.27

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Solution

The fourth proportional to 12,813.14, 17,682.24 and 7,148.27 is: 9,864.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.14 : 17,682.24 = 7,148.27 : x
  2. Step 2: Convert to fraction form
    12,813.14/17,682.24 = 7,148.27/x
  3. Step 3: Cross multiply
    12,813.14x = 17,682.24 × 7,148.27
  4. Step 4: Simplify right side
    12,813.14x = 126,397,425.72
  5. Step 5: Solve for x
    x = 126,397,425.72/12,813.14
  6. Step 6: Final answer
    x = 9,864.67

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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.