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Finding the Fourth Proportional to 22,349.70, 33,638.00 and 16,830.90

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Solution

The fourth proportional to 22,349.70, 33,638.00 and 16,830.90 is: 25,331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,349.70 : 33,638.00 = 16,830.90 : x
  2. Step 2: Convert to fraction form
    22,349.70/33,638.00 = 16,830.90/x
  3. Step 3: Cross multiply
    22,349.70x = 33,638.00 × 16,830.90
  4. Step 4: Simplify right side
    22,349.70x = 566,157,730.05
  5. Step 5: Solve for x
    x = 566,157,730.05/22,349.70
  6. Step 6: Final answer
    x = 25,331.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.