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Finding the Fourth Proportional to 13,912.54, 19,199.64 and 7,624.96

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Solution

The fourth proportional to 13,912.54, 19,199.64 and 7,624.96 is: 10,522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.54 : 19,199.64 = 7,624.96 : x
  2. Step 2: Convert to fraction form
    13,912.54/19,199.64 = 7,624.96/x
  3. Step 3: Cross multiply
    13,912.54x = 19,199.64 × 7,624.96
  4. Step 4: Simplify right side
    13,912.54x = 146,396,487.01
  5. Step 5: Solve for x
    x = 146,396,487.01/13,912.54
  6. Step 6: Final answer
    x = 10,522.63

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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.