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Finding the Fourth Proportional to 21,922.24, 30,252 and 12,849.28

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Solution

The fourth proportional to 21,922.24, 30,252 and 12,849.28 is: 17,731.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922.24 : 30,252 = 12,849.28 : x
  2. Step 2: Convert to fraction form
    21,922.24/30,252 = 12,849.28/x
  3. Step 3: Cross multiply
    21,922.24x = 30,252 × 12,849.28
  4. Step 4: Simplify right side
    21,922.24x = 388,716,418.56
  5. Step 5: Solve for x
    x = 388,716,418.56/21,922.24
  6. Step 6: Final answer
    x = 17,731.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.