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Finding the Fourth Proportional to 22,476, 33,729.36 and 7,884

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Solution

The fourth proportional to 22,476, 33,729.36 and 7,884 is: 11,831.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,476 : 33,729.36 = 7,884 : x
  2. Step 2: Convert to fraction form
    22,476/33,729.36 = 7,884/x
  3. Step 3: Cross multiply
    22,476x = 33,729.36 × 7,884
  4. Step 4: Simplify right side
    22,476x = 265,922,274.24
  5. Step 5: Solve for x
    x = 265,922,274.24/22,476
  6. Step 6: Final answer
    x = 11,831.39

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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.