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Finding the Fourth Proportional to 12,379.86, 18,555.82 and 6,144.32

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Solution

The fourth proportional to 12,379.86, 18,555.82 and 6,144.32 is: 9,209.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,379.86 : 18,555.82 = 6,144.32 : x
  2. Step 2: Convert to fraction form
    12,379.86/18,555.82 = 6,144.32/x
  3. Step 3: Cross multiply
    12,379.86x = 18,555.82 × 6,144.32
  4. Step 4: Simplify right side
    12,379.86x = 114,012,895.94
  5. Step 5: Solve for x
    x = 114,012,895.94/12,379.86
  6. Step 6: Final answer
    x = 9,209.55

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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.