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Finding the Fourth Proportional to 13,494.96, 20,244.84 and 6,102.90

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Solution

The fourth proportional to 13,494.96, 20,244.84 and 6,102.90 is: 9,155.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.96 : 20,244.84 = 6,102.90 : x
  2. Step 2: Convert to fraction form
    13,494.96/20,244.84 = 6,102.90/x
  3. Step 3: Cross multiply
    13,494.96x = 20,244.84 × 6,102.90
  4. Step 4: Simplify right side
    13,494.96x = 123,552,234.04
  5. Step 5: Solve for x
    x = 123,552,234.04/13,494.96
  6. Step 6: Final answer
    x = 9,155.44

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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.