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Finding the Fourth Proportional to 23,198.85, 32,019.02 and 13,127.31

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Solution

The fourth proportional to 23,198.85, 32,019.02 and 13,127.31 is: 18,118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198.85 : 32,019.02 = 13,127.31 : x
  2. Step 2: Convert to fraction form
    23,198.85/32,019.02 = 13,127.31/x
  3. Step 3: Cross multiply
    23,198.85x = 32,019.02 × 13,127.31
  4. Step 4: Simplify right side
    23,198.85x = 420,323,601.44
  5. Step 5: Solve for x
    x = 420,323,601.44/23,198.85
  6. Step 6: Final answer
    x = 18,118.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.