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Finding the Fourth Proportional to 13,793.16, 19,034.97 and 7,825.08

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Solution

The fourth proportional to 13,793.16, 19,034.97 and 7,825.08 is: 10,798.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.16 : 19,034.97 = 7,825.08 : x
  2. Step 2: Convert to fraction form
    13,793.16/19,034.97 = 7,825.08/x
  3. Step 3: Cross multiply
    13,793.16x = 19,034.97 × 7,825.08
  4. Step 4: Simplify right side
    13,793.16x = 148,950,163.05
  5. Step 5: Solve for x
    x = 148,950,163.05/13,793.16
  6. Step 6: Final answer
    x = 10,798.84

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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.