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Finding the Fourth Proportional to 20,896.30, 31,352.64 and 9,201.32

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Solution

The fourth proportional to 20,896.30, 31,352.64 and 9,201.32 is: 13,805.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.30 : 31,352.64 = 9,201.32 : x
  2. Step 2: Convert to fraction form
    20,896.30/31,352.64 = 9,201.32/x
  3. Step 3: Cross multiply
    20,896.30x = 31,352.64 × 9,201.32
  4. Step 4: Simplify right side
    20,896.30x = 288,485,673.48
  5. Step 5: Solve for x
    x = 288,485,673.48/20,896.30
  6. Step 6: Final answer
    x = 13,805.59

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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.