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Finding the Fourth Proportional to 16,199.58, 22,356.45 and 12,213.66

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Solution

The fourth proportional to 16,199.58, 22,356.45 and 12,213.66 is: 16,855.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.58 : 22,356.45 = 12,213.66 : x
  2. Step 2: Convert to fraction form
    16,199.58/22,356.45 = 12,213.66/x
  3. Step 3: Cross multiply
    16,199.58x = 22,356.45 × 12,213.66
  4. Step 4: Simplify right side
    16,199.58x = 273,054,079.11
  5. Step 5: Solve for x
    x = 273,054,079.11/16,199.58
  6. Step 6: Final answer
    x = 16,855.63

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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.