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Finding the Fourth Proportional to 22,977, 34,467.66 and 8,185.32

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Solution

The fourth proportional to 22,977, 34,467.66 and 8,185.32 is: 12,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977 : 34,467.66 = 8,185.32 : x
  2. Step 2: Convert to fraction form
    22,977/34,467.66 = 8,185.32/x
  3. Step 3: Cross multiply
    22,977x = 34,467.66 × 8,185.32
  4. Step 4: Simplify right side
    22,977x = 282,128,826.75
  5. Step 5: Solve for x
    x = 282,128,826.75/22,977
  6. Step 6: Final answer
    x = 12,278.75

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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.