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Finding the Fourth Proportional to 12,861.26, 19,291.76 and 9,760.31

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Solution

The fourth proportional to 12,861.26, 19,291.76 and 9,760.31 is: 14,640.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.26 : 19,291.76 = 9,760.31 : x
  2. Step 2: Convert to fraction form
    12,861.26/19,291.76 = 9,760.31/x
  3. Step 3: Cross multiply
    12,861.26x = 19,291.76 × 9,760.31
  4. Step 4: Simplify right side
    12,861.26x = 188,293,558.05
  5. Step 5: Solve for x
    x = 188,293,558.05/12,861.26
  6. Step 6: Final answer
    x = 14,640.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.