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Finding the Fourth Proportional to 22,932.34, 34,401.70 and 8,137.74

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Solution

The fourth proportional to 22,932.34, 34,401.70 and 8,137.74 is: 12,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,932.34 : 34,401.70 = 8,137.74 : x
  2. Step 2: Convert to fraction form
    22,932.34/34,401.70 = 8,137.74/x
  3. Step 3: Cross multiply
    22,932.34x = 34,401.70 × 8,137.74
  4. Step 4: Simplify right side
    22,932.34x = 279,952,252.22
  5. Step 5: Solve for x
    x = 279,952,252.22/22,932.34
  6. Step 6: Final answer
    x = 12,207.75

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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.