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Finding the Fourth Proportional to 22,332.70, 30,819.21 and 12,262.17

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Solution

The fourth proportional to 22,332.70, 30,819.21 and 12,262.17 is: 16,921.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,332.70 : 30,819.21 = 12,262.17 : x
  2. Step 2: Convert to fraction form
    22,332.70/30,819.21 = 12,262.17/x
  3. Step 3: Cross multiply
    22,332.70x = 30,819.21 × 12,262.17
  4. Step 4: Simplify right side
    22,332.70x = 377,910,392.29
  5. Step 5: Solve for x
    x = 377,910,392.29/22,332.70
  6. Step 6: Final answer
    x = 16,921.84

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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.