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Finding the Fourth Proportional to 21,821.54, 30,122.49 and 14,274.56

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Solution

The fourth proportional to 21,821.54, 30,122.49 and 14,274.56 is: 19,704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,821.54 : 30,122.49 = 14,274.56 : x
  2. Step 2: Convert to fraction form
    21,821.54/30,122.49 = 14,274.56/x
  3. Step 3: Cross multiply
    21,821.54x = 30,122.49 × 14,274.56
  4. Step 4: Simplify right side
    21,821.54x = 429,985,290.85
  5. Step 5: Solve for x
    x = 429,985,290.85/21,821.54
  6. Step 6: Final answer
    x = 19,704.63

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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.