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Finding the Fourth Proportional to 12,723.84, 17,555.31 and 8,247.78

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Solution

The fourth proportional to 12,723.84, 17,555.31 and 8,247.78 is: 11,379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,723.84 : 17,555.31 = 8,247.78 : x
  2. Step 2: Convert to fraction form
    12,723.84/17,555.31 = 8,247.78/x
  3. Step 3: Cross multiply
    12,723.84x = 17,555.31 × 8,247.78
  4. Step 4: Simplify right side
    12,723.84x = 144,792,334.71
  5. Step 5: Solve for x
    x = 144,792,334.71/12,723.84
  6. Step 6: Final answer
    x = 11,379.61

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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.