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Finding the Fourth Proportional to 22,024.98, 30,394.22 and 11,953.44

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Solution

The fourth proportional to 22,024.98, 30,394.22 and 11,953.44 is: 16,495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,024.98 : 30,394.22 = 11,953.44 : x
  2. Step 2: Convert to fraction form
    22,024.98/30,394.22 = 11,953.44/x
  3. Step 3: Cross multiply
    22,024.98x = 30,394.22 × 11,953.44
  4. Step 4: Simplify right side
    22,024.98x = 363,315,485.12
  5. Step 5: Solve for x
    x = 363,315,485.12/22,024.98
  6. Step 6: Final answer
    x = 16,495.61

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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.