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Finding the Fourth Proportional to 22,676, 33,981.18 and 12,794.40

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Solution

The fourth proportional to 22,676, 33,981.18 and 12,794.40 is: 19,173.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,676 : 33,981.18 = 12,794.40 : x
  2. Step 2: Convert to fraction form
    22,676/33,981.18 = 12,794.40/x
  3. Step 3: Cross multiply
    22,676x = 33,981.18 × 12,794.40
  4. Step 4: Simplify right side
    22,676x = 434,768,809.39
  5. Step 5: Solve for x
    x = 434,768,809.39/22,676
  6. Step 6: Final answer
    x = 19,173.08

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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.