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Finding the Fourth Proportional to 16,245.92, 22,418.74 and 10,199.43

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Solution

The fourth proportional to 16,245.92, 22,418.74 and 10,199.43 is: 14,074.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,245.92 : 22,418.74 = 10,199.43 : x
  2. Step 2: Convert to fraction form
    16,245.92/22,418.74 = 10,199.43/x
  3. Step 3: Cross multiply
    16,245.92x = 22,418.74 × 10,199.43
  4. Step 4: Simplify right side
    16,245.92x = 228,658,369.32
  5. Step 5: Solve for x
    x = 228,658,369.32/16,245.92
  6. Step 6: Final answer
    x = 14,074.82

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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.