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Finding the Fourth Proportional to 20,294.76, 30,433.62 and 7,143.96

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Solution

The fourth proportional to 20,294.76, 30,433.62 and 7,143.96 is: 10,712.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,294.76 : 30,433.62 = 7,143.96 : x
  2. Step 2: Convert to fraction form
    20,294.76/30,433.62 = 7,143.96/x
  3. Step 3: Cross multiply
    20,294.76x = 30,433.62 × 7,143.96
  4. Step 4: Simplify right side
    20,294.76x = 217,416,563.94
  5. Step 5: Solve for x
    x = 217,416,563.94/20,294.76
  6. Step 6: Final answer
    x = 10,712.94

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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.