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Finding the Fourth Proportional to 22,247, 33,377.16 and 12,884.84

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Solution

The fourth proportional to 22,247, 33,377.16 and 12,884.84 is: 19,331.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,247 : 33,377.16 = 12,884.84 : x
  2. Step 2: Convert to fraction form
    22,247/33,377.16 = 12,884.84/x
  3. Step 3: Cross multiply
    22,247x = 33,377.16 × 12,884.84
  4. Step 4: Simplify right side
    22,247x = 430,059,366.25
  5. Step 5: Solve for x
    x = 430,059,366.25/22,247
  6. Step 6: Final answer
    x = 19,331.12

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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.