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Finding the Fourth Proportional to 20,196.91, 30,293.22 and 5,407.32

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Solution

The fourth proportional to 20,196.91, 30,293.22 and 5,407.32 is: 8,110.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196.91 : 30,293.22 = 5,407.32 : x
  2. Step 2: Convert to fraction form
    20,196.91/30,293.22 = 5,407.32/x
  3. Step 3: Cross multiply
    20,196.91x = 30,293.22 × 5,407.32
  4. Step 4: Simplify right side
    20,196.91x = 163,805,268.25
  5. Step 5: Solve for x
    x = 163,805,268.25/20,196.91
  6. Step 6: Final answer
    x = 8,110.41

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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.