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Finding the Fourth Proportional to 20,793.42, 31,189.59 and 7,640.10

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Solution

The fourth proportional to 20,793.42, 31,189.59 and 7,640.10 is: 11,459.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,793.42 : 31,189.59 = 7,640.10 : x
  2. Step 2: Convert to fraction form
    20,793.42/31,189.59 = 7,640.10/x
  3. Step 3: Cross multiply
    20,793.42x = 31,189.59 × 7,640.10
  4. Step 4: Simplify right side
    20,793.42x = 238,291,586.56
  5. Step 5: Solve for x
    x = 238,291,586.56/20,793.42
  6. Step 6: Final answer
    x = 11,459.95

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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.