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Finding the Fourth Proportional to 22,927.65, 34,396.92 and 8,137.86

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Solution

The fourth proportional to 22,927.65, 34,396.92 and 8,137.86 is: 12,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,927.65 : 34,396.92 = 8,137.86 : x
  2. Step 2: Convert to fraction form
    22,927.65/34,396.92 = 8,137.86/x
  3. Step 3: Cross multiply
    22,927.65x = 34,396.92 × 8,137.86
  4. Step 4: Simplify right side
    22,927.65x = 279,917,319.39
  5. Step 5: Solve for x
    x = 279,917,319.39/22,927.65
  6. Step 6: Final answer
    x = 12,208.72

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1.5x scale

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.