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Finding the Fourth Proportional to 13,380.02, 20,054.91 and 6,446.42

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Solution

The fourth proportional to 13,380.02, 20,054.91 and 6,446.42 is: 9,662.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.02 : 20,054.91 = 6,446.42 : x
  2. Step 2: Convert to fraction form
    13,380.02/20,054.91 = 6,446.42/x
  3. Step 3: Cross multiply
    13,380.02x = 20,054.91 × 6,446.42
  4. Step 4: Simplify right side
    13,380.02x = 129,282,372.92
  5. Step 5: Solve for x
    x = 129,282,372.92/13,380.02
  6. Step 6: Final answer
    x = 9,662.35

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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.