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Finding the Fourth Proportional to 19,648.70, 27,107.20 and 12,092.75

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Solution

The fourth proportional to 19,648.70, 27,107.20 and 12,092.75 is: 16,683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648.70 : 27,107.20 = 12,092.75 : x
  2. Step 2: Convert to fraction form
    19,648.70/27,107.20 = 12,092.75/x
  3. Step 3: Cross multiply
    19,648.70x = 27,107.20 × 12,092.75
  4. Step 4: Simplify right side
    19,648.70x = 327,800,630.34
  5. Step 5: Solve for x
    x = 327,800,630.34/19,648.70
  6. Step 6: Final answer
    x = 16,683.07

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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.