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Finding the Fourth Proportional to 22,935.15, 34,407.92 and 8,144.07

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Solution

The fourth proportional to 22,935.15, 34,407.92 and 8,144.07 is: 12,217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,935.15 : 34,407.92 = 8,144.07 : x
  2. Step 2: Convert to fraction form
    22,935.15/34,407.92 = 8,144.07/x
  3. Step 3: Cross multiply
    22,935.15x = 34,407.92 × 8,144.07
  4. Step 4: Simplify right side
    22,935.15x = 280,220,468.31
  5. Step 5: Solve for x
    x = 280,220,468.31/22,935.15
  6. Step 6: Final answer
    x = 12,217.95

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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.