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Finding the Fourth Proportional to 20,984.10, 31,468.82 and 6,189.09

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Solution

The fourth proportional to 20,984.10, 31,468.82 and 6,189.09 is: 9,281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,984.10 : 31,468.82 = 6,189.09 : x
  2. Step 2: Convert to fraction form
    20,984.10/31,468.82 = 6,189.09/x
  3. Step 3: Cross multiply
    20,984.10x = 31,468.82 × 6,189.09
  4. Step 4: Simplify right side
    20,984.10x = 194,763,328.23
  5. Step 5: Solve for x
    x = 194,763,328.23/20,984.10
  6. Step 6: Final answer
    x = 9,281.47

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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.