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Finding the Fourth Proportional to 13,349.06, 20,022.90 and 3,989.16

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Solution

The fourth proportional to 13,349.06, 20,022.90 and 3,989.16 is: 5,983.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,349.06 : 20,022.90 = 3,989.16 : x
  2. Step 2: Convert to fraction form
    13,349.06/20,022.90 = 3,989.16/x
  3. Step 3: Cross multiply
    13,349.06x = 20,022.90 × 3,989.16
  4. Step 4: Simplify right side
    13,349.06x = 79,874,514.15
  5. Step 5: Solve for x
    x = 79,874,514.15/13,349.06
  6. Step 6: Final answer
    x = 5,983.53

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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.