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Finding the Fourth Proportional to 22,338.84, 30,827.97 and 12,267.70

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Solution

The fourth proportional to 22,338.84, 30,827.97 and 12,267.70 is: 16,929.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,338.84 : 30,827.97 = 12,267.70 : x
  2. Step 2: Convert to fraction form
    22,338.84/30,827.97 = 12,267.70/x
  3. Step 3: Cross multiply
    22,338.84x = 30,827.97 × 12,267.70
  4. Step 4: Simplify right side
    22,338.84x = 378,188,349.40
  5. Step 5: Solve for x
    x = 378,188,349.40/22,338.84
  6. Step 6: Final answer
    x = 16,929.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.