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Finding the Fourth Proportional to 22,764.03, 31,410.34 and 12,691.68

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Solution

The fourth proportional to 22,764.03, 31,410.34 and 12,691.68 is: 17,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,764.03 : 31,410.34 = 12,691.68 : x
  2. Step 2: Convert to fraction form
    22,764.03/31,410.34 = 12,691.68/x
  3. Step 3: Cross multiply
    22,764.03x = 31,410.34 × 12,691.68
  4. Step 4: Simplify right side
    22,764.03x = 398,649,983.97
  5. Step 5: Solve for x
    x = 398,649,983.97/22,764.03
  6. Step 6: Final answer
    x = 17,512.28

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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.