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Finding the Fourth Proportional to 13,198.16, 18,232.44 and 10,542.08

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Solution

The fourth proportional to 13,198.16, 18,232.44 and 10,542.08 is: 14,563.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.16 : 18,232.44 = 10,542.08 : x
  2. Step 2: Convert to fraction form
    13,198.16/18,232.44 = 10,542.08/x
  3. Step 3: Cross multiply
    13,198.16x = 18,232.44 × 10,542.08
  4. Step 4: Simplify right side
    13,198.16x = 192,207,841.08
  5. Step 5: Solve for x
    x = 192,207,841.08/13,198.16
  6. Step 6: Final answer
    x = 14,563.23

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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.