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Finding the Fourth Proportional to 20,804.62, 31,205.71 and 6,013.21

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Solution

The fourth proportional to 20,804.62, 31,205.71 and 6,013.21 is: 9,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,804.62 : 31,205.71 = 6,013.21 : x
  2. Step 2: Convert to fraction form
    20,804.62/31,205.71 = 6,013.21/x
  3. Step 3: Cross multiply
    20,804.62x = 31,205.71 × 6,013.21
  4. Step 4: Simplify right side
    20,804.62x = 187,646,487.43
  5. Step 5: Solve for x
    x = 187,646,487.43/20,804.62
  6. Step 6: Final answer
    x = 9,019.46

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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.