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Finding the Fourth Proportional to 22,850.38, 34,271.76 and 8,055.82

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Solution

The fourth proportional to 22,850.38, 34,271.76 and 8,055.82 is: 12,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,850.38 : 34,271.76 = 8,055.82 : x
  2. Step 2: Convert to fraction form
    22,850.38/34,271.76 = 8,055.82/x
  3. Step 3: Cross multiply
    22,850.38x = 34,271.76 × 8,055.82
  4. Step 4: Simplify right side
    22,850.38x = 276,087,129.64
  5. Step 5: Solve for x
    x = 276,087,129.64/22,850.38
  6. Step 6: Final answer
    x = 12,082.39

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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.