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Finding the Fourth Proportional to 13,282.18, 19,923.82 and 3,922.20

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Solution

The fourth proportional to 13,282.18, 19,923.82 and 3,922.20 is: 5,883.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282.18 : 19,923.82 = 3,922.20 : x
  2. Step 2: Convert to fraction form
    13,282.18/19,923.82 = 3,922.20/x
  3. Step 3: Cross multiply
    13,282.18x = 19,923.82 × 3,922.20
  4. Step 4: Simplify right side
    13,282.18x = 78,145,206.80
  5. Step 5: Solve for x
    x = 78,145,206.80/13,282.18
  6. Step 6: Final answer
    x = 5,883.46

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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.