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Finding the Fourth Proportional to 21,922, 30,278.28 and 14,836.12

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Solution

The fourth proportional to 21,922, 30,278.28 and 14,836.12 is: 20,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922 : 30,278.28 = 14,836.12 : x
  2. Step 2: Convert to fraction form
    21,922/30,278.28 = 14,836.12/x
  3. Step 3: Cross multiply
    21,922x = 30,278.28 × 14,836.12
  4. Step 4: Simplify right side
    21,922x = 449,212,195.47
  5. Step 5: Solve for x
    x = 449,212,195.47/21,922
  6. Step 6: Final answer
    x = 20,491.39

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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.