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Finding the Fourth Proportional to 20,138.49, 30,217.64 and 9,053.01

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Solution

The fourth proportional to 20,138.49, 30,217.64 and 9,053.01 is: 13,583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.49 : 30,217.64 = 9,053.01 : x
  2. Step 2: Convert to fraction form
    20,138.49/30,217.64 = 9,053.01/x
  3. Step 3: Cross multiply
    20,138.49x = 30,217.64 × 9,053.01
  4. Step 4: Simplify right side
    20,138.49x = 273,560,597.10
  5. Step 5: Solve for x
    x = 273,560,597.10/20,138.49
  6. Step 6: Final answer
    x = 13,583.97

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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.