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Finding the Fourth Proportional to 12,825.00, 17,698.77 and 7,082.43

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Solution

The fourth proportional to 12,825.00, 17,698.77 and 7,082.43 is: 9,773.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.00 : 17,698.77 = 7,082.43 : x
  2. Step 2: Convert to fraction form
    12,825.00/17,698.77 = 7,082.43/x
  3. Step 3: Cross multiply
    12,825.00x = 17,698.77 × 7,082.43
  4. Step 4: Simplify right side
    12,825.00x = 125,350,299.61
  5. Step 5: Solve for x
    x = 125,350,299.61/12,825.00
  6. Step 6: Final answer
    x = 9,773.91

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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.