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Finding the Fourth Proportional to 19,906.35, 27,465.80 and 12,824.25

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Solution

The fourth proportional to 19,906.35, 27,465.80 and 12,824.25 is: 17,694.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,906.35 : 27,465.80 = 12,824.25 : x
  2. Step 2: Convert to fraction form
    19,906.35/27,465.80 = 12,824.25/x
  3. Step 3: Cross multiply
    19,906.35x = 27,465.80 × 12,824.25
  4. Step 4: Simplify right side
    19,906.35x = 352,228,221.53
  5. Step 5: Solve for x
    x = 352,228,221.53/19,906.35
  6. Step 6: Final answer
    x = 17,694.26

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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.