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Finding the Fourth Proportional to 22,626.92, 33,932.28 and 7,831.87

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Solution

The fourth proportional to 22,626.92, 33,932.28 and 7,831.87 is: 11,745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,626.92 : 33,932.28 = 7,831.87 : x
  2. Step 2: Convert to fraction form
    22,626.92/33,932.28 = 7,831.87/x
  3. Step 3: Cross multiply
    22,626.92x = 33,932.28 × 7,831.87
  4. Step 4: Simplify right side
    22,626.92x = 265,753,205.76
  5. Step 5: Solve for x
    x = 265,753,205.76/22,626.92
  6. Step 6: Final answer
    x = 11,745.00

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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.