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Finding the Fourth Proportional to 13,793.43, 19,035.30 and 7,825.99

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Solution

The fourth proportional to 13,793.43, 19,035.30 and 7,825.99 is: 10,800.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.43 : 19,035.30 = 7,825.99 : x
  2. Step 2: Convert to fraction form
    13,793.43/19,035.30 = 7,825.99/x
  3. Step 3: Cross multiply
    13,793.43x = 19,035.30 × 7,825.99
  4. Step 4: Simplify right side
    13,793.43x = 148,970,067.45
  5. Step 5: Solve for x
    x = 148,970,067.45/13,793.43
  6. Step 6: Final answer
    x = 10,800.07

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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.