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Finding the Fourth Proportional to 10,022.76, 13,825.92 and 8,136.48

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Solution

The fourth proportional to 10,022.76, 13,825.92 and 8,136.48 is: 11,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.76 : 13,825.92 = 8,136.48 : x
  2. Step 2: Convert to fraction form
    10,022.76/13,825.92 = 8,136.48/x
  3. Step 3: Cross multiply
    10,022.76x = 13,825.92 × 8,136.48
  4. Step 4: Simplify right side
    10,022.76x = 112,494,321.56
  5. Step 5: Solve for x
    x = 112,494,321.56/10,022.76
  6. Step 6: Final answer
    x = 11,223.89

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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.