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Finding the Fourth Proportional to 13,455.54, 20,170.22 and 6,433.74

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Solution

The fourth proportional to 13,455.54, 20,170.22 and 6,433.74 is: 9,644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,455.54 : 20,170.22 = 6,433.74 : x
  2. Step 2: Convert to fraction form
    13,455.54/20,170.22 = 6,433.74/x
  3. Step 3: Cross multiply
    13,455.54x = 20,170.22 × 6,433.74
  4. Step 4: Simplify right side
    13,455.54x = 129,769,919.05
  5. Step 5: Solve for x
    x = 129,769,919.05/13,455.54
  6. Step 6: Final answer
    x = 9,644.35

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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.