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Finding the Fourth Proportional to 13,583.22, 20,378.04 and 4,222.80

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Solution

The fourth proportional to 13,583.22, 20,378.04 and 4,222.80 is: 6,335.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.22 : 20,378.04 = 4,222.80 : x
  2. Step 2: Convert to fraction form
    13,583.22/20,378.04 = 4,222.80/x
  3. Step 3: Cross multiply
    13,583.22x = 20,378.04 × 4,222.80
  4. Step 4: Simplify right side
    13,583.22x = 86,052,387.31
  5. Step 5: Solve for x
    x = 86,052,387.31/13,583.22
  6. Step 6: Final answer
    x = 6,335.20

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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.