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Finding the Fourth Proportional to 13,912.40, 19,199.21 and 8,250

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Solution

The fourth proportional to 13,912.40, 19,199.21 and 8,250 is: 11,385.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.40 : 19,199.21 = 8,250 : x
  2. Step 2: Convert to fraction form
    13,912.40/19,199.21 = 8,250/x
  3. Step 3: Cross multiply
    13,912.40x = 19,199.21 × 8,250
  4. Step 4: Simplify right side
    13,912.40x = 158,393,441.25
  5. Step 5: Solve for x
    x = 158,393,441.25/13,912.40
  6. Step 6: Final answer
    x = 11,385.06

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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.