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Finding the Fourth Proportional to 21,884.76, 32,831.46 and 8,033.88

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Solution

The fourth proportional to 21,884.76, 32,831.46 and 8,033.88 is: 12,052.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,884.76 : 32,831.46 = 8,033.88 : x
  2. Step 2: Convert to fraction form
    21,884.76/32,831.46 = 8,033.88/x
  3. Step 3: Cross multiply
    21,884.76x = 32,831.46 × 8,033.88
  4. Step 4: Simplify right side
    21,884.76x = 263,764,009.86
  5. Step 5: Solve for x
    x = 263,764,009.86/21,884.76
  6. Step 6: Final answer
    x = 12,052.41

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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.