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Finding the Fourth Proportional to 20,498.10, 30,742.83 and 9,963.60

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Solution

The fourth proportional to 20,498.10, 30,742.83 and 9,963.60 is: 14,943.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498.10 : 30,742.83 = 9,963.60 : x
  2. Step 2: Convert to fraction form
    20,498.10/30,742.83 = 9,963.60/x
  3. Step 3: Cross multiply
    20,498.10x = 30,742.83 × 9,963.60
  4. Step 4: Simplify right side
    20,498.10x = 306,309,260.99
  5. Step 5: Solve for x
    x = 306,309,260.99/20,498.10
  6. Step 6: Final answer
    x = 14,943.30

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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.