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Finding the Fourth Proportional to 13,583.38, 20,375.70 and 7,022.38

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Solution

The fourth proportional to 13,583.38, 20,375.70 and 7,022.38 is: 10,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.38 : 20,375.70 = 7,022.38 : x
  2. Step 2: Convert to fraction form
    13,583.38/20,375.70 = 7,022.38/x
  3. Step 3: Cross multiply
    13,583.38x = 20,375.70 × 7,022.38
  4. Step 4: Simplify right side
    13,583.38x = 143,085,908.17
  5. Step 5: Solve for x
    x = 143,085,908.17/13,583.38
  6. Step 6: Final answer
    x = 10,533.90

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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.