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Finding the Fourth Proportional to 20,810.14, 31,218.26 and 7,661.41

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Solution

The fourth proportional to 20,810.14, 31,218.26 and 7,661.41 is: 11,493.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810.14 : 31,218.26 = 7,661.41 : x
  2. Step 2: Convert to fraction form
    20,810.14/31,218.26 = 7,661.41/x
  3. Step 3: Cross multiply
    20,810.14x = 31,218.26 × 7,661.41
  4. Step 4: Simplify right side
    20,810.14x = 239,175,772.99
  5. Step 5: Solve for x
    x = 239,175,772.99/20,810.14
  6. Step 6: Final answer
    x = 11,493.23

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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.