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Finding the Fourth Proportional to 12,269.98, 18,377.27 and 5,682.32

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Solution

The fourth proportional to 12,269.98, 18,377.27 and 5,682.32 is: 8,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.98 : 18,377.27 = 5,682.32 : x
  2. Step 2: Convert to fraction form
    12,269.98/18,377.27 = 5,682.32/x
  3. Step 3: Cross multiply
    12,269.98x = 18,377.27 × 5,682.32
  4. Step 4: Simplify right side
    12,269.98x = 104,425,436.98
  5. Step 5: Solve for x
    x = 104,425,436.98/12,269.98
  6. Step 6: Final answer
    x = 8,510.65

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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.