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Finding the Fourth Proportional to 20,980.62, 31,468.23 and 6,191.10

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Solution

The fourth proportional to 20,980.62, 31,468.23 and 6,191.10 is: 9,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980.62 : 31,468.23 = 6,191.10 : x
  2. Step 2: Convert to fraction form
    20,980.62/31,468.23 = 6,191.10/x
  3. Step 3: Cross multiply
    20,980.62x = 31,468.23 × 6,191.10
  4. Step 4: Simplify right side
    20,980.62x = 194,822,958.75
  5. Step 5: Solve for x
    x = 194,822,958.75/20,980.62
  6. Step 6: Final answer
    x = 9,285.85

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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.