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Finding the Fourth Proportional to 13,708.31, 20,573.60 and 7,136.37

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Solution

The fourth proportional to 13,708.31, 20,573.60 and 7,136.37 is: 10,710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.31 : 20,573.60 = 7,136.37 : x
  2. Step 2: Convert to fraction form
    13,708.31/20,573.60 = 7,136.37/x
  3. Step 3: Cross multiply
    13,708.31x = 20,573.60 × 7,136.37
  4. Step 4: Simplify right side
    13,708.31x = 146,820,786.15
  5. Step 5: Solve for x
    x = 146,820,786.15/13,708.31
  6. Step 6: Final answer
    x = 10,710.35

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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.