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Finding the Fourth Proportional to 22,233.86, 30,682.80 and 12,162.08

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Solution

The fourth proportional to 22,233.86, 30,682.80 and 12,162.08 is: 16,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,233.86 : 30,682.80 = 12,162.08 : x
  2. Step 2: Convert to fraction form
    22,233.86/30,682.80 = 12,162.08/x
  3. Step 3: Cross multiply
    22,233.86x = 30,682.80 × 12,162.08
  4. Step 4: Simplify right side
    22,233.86x = 373,166,668.22
  5. Step 5: Solve for x
    x = 373,166,668.22/22,233.86
  6. Step 6: Final answer
    x = 16,783.71

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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.