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Finding the Fourth Proportional to 20,199.93, 27,783.18 and 16,212.30

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Solution

The fourth proportional to 20,199.93, 27,783.18 and 16,212.30 is: 22,298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.93 : 27,783.18 = 16,212.30 : x
  2. Step 2: Convert to fraction form
    20,199.93/27,783.18 = 16,212.30/x
  3. Step 3: Cross multiply
    20,199.93x = 27,783.18 × 16,212.30
  4. Step 4: Simplify right side
    20,199.93x = 450,429,249.11
  5. Step 5: Solve for x
    x = 450,429,249.11/20,199.93
  6. Step 6: Final answer
    x = 22,298.55

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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.