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Finding the Fourth Proportional to 20,998.85, 31,478.83 and 7,138.13

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Solution

The fourth proportional to 20,998.85, 31,478.83 and 7,138.13 is: 10,700.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.85 : 31,478.83 = 7,138.13 : x
  2. Step 2: Convert to fraction form
    20,998.85/31,478.83 = 7,138.13/x
  3. Step 3: Cross multiply
    20,998.85x = 31,478.83 × 7,138.13
  4. Step 4: Simplify right side
    20,998.85x = 224,699,805.55
  5. Step 5: Solve for x
    x = 224,699,805.55/20,998.85
  6. Step 6: Final answer
    x = 10,700.58

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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.