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Finding the Fourth Proportional to 22,793.40, 31,469.11 and 14,731.27

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Solution

The fourth proportional to 22,793.40, 31,469.11 and 14,731.27 is: 20,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,793.40 : 31,469.11 = 14,731.27 : x
  2. Step 2: Convert to fraction form
    22,793.40/31,469.11 = 14,731.27/x
  3. Step 3: Cross multiply
    22,793.40x = 31,469.11 × 14,731.27
  4. Step 4: Simplify right side
    22,793.40x = 463,579,840.57
  5. Step 5: Solve for x
    x = 463,579,840.57/22,793.40
  6. Step 6: Final answer
    x = 20,338.34

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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.