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Finding the Fourth Proportional to 21,876, 30,189.96 and 12,445.44

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Solution

The fourth proportional to 21,876, 30,189.96 and 12,445.44 is: 17,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876 : 30,189.96 = 12,445.44 : x
  2. Step 2: Convert to fraction form
    21,876/30,189.96 = 12,445.44/x
  3. Step 3: Cross multiply
    21,876x = 30,189.96 × 12,445.44
  4. Step 4: Simplify right side
    21,876x = 375,727,335.78
  5. Step 5: Solve for x
    x = 375,727,335.78/21,876
  6. Step 6: Final answer
    x = 17,175.32

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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.