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Finding the Fourth Proportional to 12,006.24, 17,993.43 and 6,382.74

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Solution

The fourth proportional to 12,006.24, 17,993.43 and 6,382.74 is: 9,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.24 : 17,993.43 = 6,382.74 : x
  2. Step 2: Convert to fraction form
    12,006.24/17,993.43 = 6,382.74/x
  3. Step 3: Cross multiply
    12,006.24x = 17,993.43 × 6,382.74
  4. Step 4: Simplify right side
    12,006.24x = 114,847,385.40
  5. Step 5: Solve for x
    x = 114,847,385.40/12,006.24
  6. Step 6: Final answer
    x = 9,565.64

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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.