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Finding the Fourth Proportional to 13,793.48, 19,035.12 and 7,825.16

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Solution

The fourth proportional to 13,793.48, 19,035.12 and 7,825.16 is: 10,798.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.48 : 19,035.12 = 7,825.16 : x
  2. Step 2: Convert to fraction form
    13,793.48/19,035.12 = 7,825.16/x
  3. Step 3: Cross multiply
    13,793.48x = 19,035.12 × 7,825.16
  4. Step 4: Simplify right side
    13,793.48x = 148,952,859.62
  5. Step 5: Solve for x
    x = 148,952,859.62/13,793.48
  6. Step 6: Final answer
    x = 10,798.79

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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.