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Finding the Fourth Proportional to 13,594.92, 20,398.62 and 8,059.24

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Solution

The fourth proportional to 13,594.92, 20,398.62 and 8,059.24 is: 12,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.92 : 20,398.62 = 8,059.24 : x
  2. Step 2: Convert to fraction form
    13,594.92/20,398.62 = 8,059.24/x
  3. Step 3: Cross multiply
    13,594.92x = 20,398.62 × 8,059.24
  4. Step 4: Simplify right side
    13,594.92x = 164,397,374.25
  5. Step 5: Solve for x
    x = 164,397,374.25/13,594.92
  6. Step 6: Final answer
    x = 12,092.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.