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Finding the Fourth Proportional to 13,912.96, 19,200.08 and 7,625.28

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Solution

The fourth proportional to 13,912.96, 19,200.08 and 7,625.28 is: 10,522.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.96 : 19,200.08 = 7,625.28 : x
  2. Step 2: Convert to fraction form
    13,912.96/19,200.08 = 7,625.28/x
  3. Step 3: Cross multiply
    13,912.96x = 19,200.08 × 7,625.28
  4. Step 4: Simplify right side
    13,912.96x = 146,405,986.02
  5. Step 5: Solve for x
    x = 146,405,986.02/13,912.96
  6. Step 6: Final answer
    x = 10,522.99

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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.