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Finding the Fourth Proportional to 20,991.38, 31,487.09 and 7,140.38

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Solution

The fourth proportional to 20,991.38, 31,487.09 and 7,140.38 is: 10,710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,991.38 : 31,487.09 = 7,140.38 : x
  2. Step 2: Convert to fraction form
    20,991.38/31,487.09 = 7,140.38/x
  3. Step 3: Cross multiply
    20,991.38x = 31,487.09 × 7,140.38
  4. Step 4: Simplify right side
    20,991.38x = 224,829,594.56
  5. Step 5: Solve for x
    x = 224,829,594.56/20,991.38
  6. Step 6: Final answer
    x = 10,710.57

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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.