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Finding the Fourth Proportional to 22,855.80, 34,283.70 and 8,065.20

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Solution

The fourth proportional to 22,855.80, 34,283.70 and 8,065.20 is: 12,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,855.80 : 34,283.70 = 8,065.20 : x
  2. Step 2: Convert to fraction form
    22,855.80/34,283.70 = 8,065.20/x
  3. Step 3: Cross multiply
    22,855.80x = 34,283.70 × 8,065.20
  4. Step 4: Simplify right side
    22,855.80x = 276,504,897.24
  5. Step 5: Solve for x
    x = 276,504,897.24/22,855.80
  6. Step 6: Final answer
    x = 12,097.80

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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.