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Finding the Fourth Proportional to 12,524.94, 18,791.46 and 4,208.76

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Solution

The fourth proportional to 12,524.94, 18,791.46 and 4,208.76 is: 6,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.94 : 18,791.46 = 4,208.76 : x
  2. Step 2: Convert to fraction form
    12,524.94/18,791.46 = 4,208.76/x
  3. Step 3: Cross multiply
    12,524.94x = 18,791.46 × 4,208.76
  4. Step 4: Simplify right side
    12,524.94x = 79,088,745.19
  5. Step 5: Solve for x
    x = 79,088,745.19/12,524.94
  6. Step 6: Final answer
    x = 6,314.50

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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.