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Finding the Fourth Proportional to 12,393.21, 18,589.82 and 10,197.32

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Solution

The fourth proportional to 12,393.21, 18,589.82 and 10,197.32 is: 15,295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,393.21 : 18,589.82 = 10,197.32 : x
  2. Step 2: Convert to fraction form
    12,393.21/18,589.82 = 10,197.32/x
  3. Step 3: Cross multiply
    12,393.21x = 18,589.82 × 10,197.32
  4. Step 4: Simplify right side
    12,393.21x = 189,566,343.28
  5. Step 5: Solve for x
    x = 189,566,343.28/12,393.21
  6. Step 6: Final answer
    x = 15,295.98

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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.