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Finding the Fourth Proportional to 13,993.80, 20,990.88 and 4,133.22

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Solution

The fourth proportional to 13,993.80, 20,990.88 and 4,133.22 is: 6,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.80 : 20,990.88 = 4,133.22 : x
  2. Step 2: Convert to fraction form
    13,993.80/20,990.88 = 4,133.22/x
  3. Step 3: Cross multiply
    13,993.80x = 20,990.88 × 4,133.22
  4. Step 4: Simplify right side
    13,993.80x = 86,759,925.03
  5. Step 5: Solve for x
    x = 86,759,925.03/13,993.80
  6. Step 6: Final answer
    x = 6,199.88

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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.