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Finding the Fourth Proportional to 20,298.78, 30,433.50 and 9,199.80

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Solution

The fourth proportional to 20,298.78, 30,433.50 and 9,199.80 is: 13,793.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298.78 : 30,433.50 = 9,199.80 : x
  2. Step 2: Convert to fraction form
    20,298.78/30,433.50 = 9,199.80/x
  3. Step 3: Cross multiply
    20,298.78x = 30,433.50 × 9,199.80
  4. Step 4: Simplify right side
    20,298.78x = 279,982,113.30
  5. Step 5: Solve for x
    x = 279,982,113.30/20,298.78
  6. Step 6: Final answer
    x = 13,793.05

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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.