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Finding the Fourth Proportional to 20,793.67, 31,189.96 and 7,640.35

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Solution

The fourth proportional to 20,793.67, 31,189.96 and 7,640.35 is: 11,460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,793.67 : 31,189.96 = 7,640.35 : x
  2. Step 2: Convert to fraction form
    20,793.67/31,189.96 = 7,640.35/x
  3. Step 3: Cross multiply
    20,793.67x = 31,189.96 × 7,640.35
  4. Step 4: Simplify right side
    20,793.67x = 238,302,210.89
  5. Step 5: Solve for x
    x = 238,302,210.89/20,793.67
  6. Step 6: Final answer
    x = 11,460.32

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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.