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Finding the Fourth Proportional to 22,853.90, 34,285.08 and 8,072.22

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Solution

The fourth proportional to 22,853.90, 34,285.08 and 8,072.22 is: 12,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,853.90 : 34,285.08 = 8,072.22 : x
  2. Step 2: Convert to fraction form
    22,853.90/34,285.08 = 8,072.22/x
  3. Step 3: Cross multiply
    22,853.90x = 34,285.08 × 8,072.22
  4. Step 4: Simplify right side
    22,853.90x = 276,756,708.48
  5. Step 5: Solve for x
    x = 276,756,708.48/22,853.90
  6. Step 6: Final answer
    x = 12,109.82

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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.