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Finding the Fourth Proportional to 12,620, 18,932.44 and 5,694.50

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Solution

The fourth proportional to 12,620, 18,932.44 and 5,694.50 is: 8,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,620 : 18,932.44 = 5,694.50 : x
  2. Step 2: Convert to fraction form
    12,620/18,932.44 = 5,694.50/x
  3. Step 3: Cross multiply
    12,620x = 18,932.44 × 5,694.50
  4. Step 4: Simplify right side
    12,620x = 107,810,779.58
  5. Step 5: Solve for x
    x = 107,810,779.58/12,620
  6. Step 6: Final answer
    x = 8,542.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.