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Finding the Fourth Proportional to 13,993.06, 20,993.22 and 6,200.02

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Solution

The fourth proportional to 13,993.06, 20,993.22 and 6,200.02 is: 9,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.06 : 20,993.22 = 6,200.02 : x
  2. Step 2: Convert to fraction form
    13,993.06/20,993.22 = 6,200.02/x
  3. Step 3: Cross multiply
    13,993.06x = 20,993.22 × 6,200.02
  4. Step 4: Simplify right side
    13,993.06x = 130,158,383.86
  5. Step 5: Solve for x
    x = 130,158,383.86/13,993.06
  6. Step 6: Final answer
    x = 9,301.64

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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.