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Finding the Fourth Proportional to 18,596.46, 27,859.52 and 14,415.98

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Solution

The fourth proportional to 18,596.46, 27,859.52 and 14,415.98 is: 21,596.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,596.46 : 27,859.52 = 14,415.98 : x
  2. Step 2: Convert to fraction form
    18,596.46/27,859.52 = 14,415.98/x
  3. Step 3: Cross multiply
    18,596.46x = 27,859.52 × 14,415.98
  4. Step 4: Simplify right side
    18,596.46x = 401,622,280.70
  5. Step 5: Solve for x
    x = 401,622,280.70/18,596.46
  6. Step 6: Final answer
    x = 21,596.71

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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.