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Finding the Fourth Proportional to 22,934.41, 34,405.03 and 8,142.09

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Solution

The fourth proportional to 22,934.41, 34,405.03 and 8,142.09 is: 12,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,934.41 : 34,405.03 = 8,142.09 : x
  2. Step 2: Convert to fraction form
    22,934.41/34,405.03 = 8,142.09/x
  3. Step 3: Cross multiply
    22,934.41x = 34,405.03 × 8,142.09
  4. Step 4: Simplify right side
    22,934.41x = 280,128,731.87
  5. Step 5: Solve for x
    x = 280,128,731.87/22,934.41
  6. Step 6: Final answer
    x = 12,214.34

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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.