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Finding the Fourth Proportional to 13,460.35, 20,168.31 and 7,822.20

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Solution

The fourth proportional to 13,460.35, 20,168.31 and 7,822.20 is: 11,720.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.35 : 20,168.31 = 7,822.20 : x
  2. Step 2: Convert to fraction form
    13,460.35/20,168.31 = 7,822.20/x
  3. Step 3: Cross multiply
    13,460.35x = 20,168.31 × 7,822.20
  4. Step 4: Simplify right side
    13,460.35x = 157,760,478.85
  5. Step 5: Solve for x
    x = 157,760,478.85/13,460.35
  6. Step 6: Final answer
    x = 11,720.38

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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.