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Finding the Fourth Proportional to 27,906.84, 38,512.26 and 15,974.01

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Solution

The fourth proportional to 27,906.84, 38,512.26 and 15,974.01 is: 22,044.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,906.84 : 38,512.26 = 15,974.01 : x
  2. Step 2: Convert to fraction form
    27,906.84/38,512.26 = 15,974.01/x
  3. Step 3: Cross multiply
    27,906.84x = 38,512.26 × 15,974.01
  4. Step 4: Simplify right side
    27,906.84x = 615,195,226.36
  5. Step 5: Solve for x
    x = 615,195,226.36/27,906.84
  6. Step 6: Final answer
    x = 22,044.60

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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.