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Finding the Fourth Proportional to 15,096.22, 20,832.87 and 9,434.26

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Solution

The fourth proportional to 15,096.22, 20,832.87 and 9,434.26 is: 13,019.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,096.22 : 20,832.87 = 9,434.26 : x
  2. Step 2: Convert to fraction form
    15,096.22/20,832.87 = 9,434.26/x
  3. Step 3: Cross multiply
    15,096.22x = 20,832.87 × 9,434.26
  4. Step 4: Simplify right side
    15,096.22x = 196,542,712.13
  5. Step 5: Solve for x
    x = 196,542,712.13/15,096.22
  6. Step 6: Final answer
    x = 13,019.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.