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Finding the Fourth Proportional to 22,846, 34,271.74 and 8,051.86

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Solution

The fourth proportional to 22,846, 34,271.74 and 8,051.86 is: 12,078.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846 : 34,271.74 = 8,051.86 : x
  2. Step 2: Convert to fraction form
    22,846/34,271.74 = 8,051.86/x
  3. Step 3: Cross multiply
    22,846x = 34,271.74 × 8,051.86
  4. Step 4: Simplify right side
    22,846x = 275,951,252.44
  5. Step 5: Solve for x
    x = 275,951,252.44/22,846
  6. Step 6: Final answer
    x = 12,078.76

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Why These Related Problems?

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