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Finding the Fourth Proportional to 22,906.80, 31,594.02 and 19,725.54

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Solution

The fourth proportional to 22,906.80, 31,594.02 and 19,725.54 is: 27,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.80 : 31,594.02 = 19,725.54 : x
  2. Step 2: Convert to fraction form
    22,906.80/31,594.02 = 19,725.54/x
  3. Step 3: Cross multiply
    22,906.80x = 31,594.02 × 19,725.54
  4. Step 4: Simplify right side
    22,906.80x = 623,209,105.27
  5. Step 5: Solve for x
    x = 623,209,105.27/22,906.80
  6. Step 6: Final answer
    x = 27,206.29

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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.