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Finding the Fourth Proportional to 18,571.46, 27,860.25 and 9,211.77

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Solution

The fourth proportional to 18,571.46, 27,860.25 and 9,211.77 is: 13,819.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,571.46 : 27,860.25 = 9,211.77 : x
  2. Step 2: Convert to fraction form
    18,571.46/27,860.25 = 9,211.77/x
  3. Step 3: Cross multiply
    18,571.46x = 27,860.25 × 9,211.77
  4. Step 4: Simplify right side
    18,571.46x = 256,642,215.14
  5. Step 5: Solve for x
    x = 256,642,215.14/18,571.46
  6. Step 6: Final answer
    x = 13,819.18

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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.