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Finding the Fourth Proportional to 12,596.52, 18,886.68 and 6,022.56

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Solution

The fourth proportional to 12,596.52, 18,886.68 and 6,022.56 is: 9,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.52 : 18,886.68 = 6,022.56 : x
  2. Step 2: Convert to fraction form
    12,596.52/18,886.68 = 6,022.56/x
  3. Step 3: Cross multiply
    12,596.52x = 18,886.68 × 6,022.56
  4. Step 4: Simplify right side
    12,596.52x = 113,746,163.50
  5. Step 5: Solve for x
    x = 113,746,163.50/12,596.52
  6. Step 6: Final answer
    x = 9,029.97

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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.