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Finding the Fourth Proportional to 15,859.81, 23,782.26 and 9,198.20

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Solution

The fourth proportional to 15,859.81, 23,782.26 and 9,198.20 is: 13,792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,859.81 : 23,782.26 = 9,198.20 : x
  2. Step 2: Convert to fraction form
    15,859.81/23,782.26 = 9,198.20/x
  3. Step 3: Cross multiply
    15,859.81x = 23,782.26 × 9,198.20
  4. Step 4: Simplify right side
    15,859.81x = 218,753,983.93
  5. Step 5: Solve for x
    x = 218,753,983.93/15,859.81
  6. Step 6: Final answer
    x = 13,792.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.