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Finding the Fourth Proportional to 16,504.86, 22,777.30 and 11,800.38

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Solution

The fourth proportional to 16,504.86, 22,777.30 and 11,800.38 is: 16,284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,504.86 : 22,777.30 = 11,800.38 : x
  2. Step 2: Convert to fraction form
    16,504.86/22,777.30 = 11,800.38/x
  3. Step 3: Cross multiply
    16,504.86x = 22,777.30 × 11,800.38
  4. Step 4: Simplify right side
    16,504.86x = 268,780,795.37
  5. Step 5: Solve for x
    x = 268,780,795.37/16,504.86
  6. Step 6: Final answer
    x = 16,284.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.