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Finding the Fourth Proportional to 12,874.02, 19,311.37 and 4,108.93

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Solution

The fourth proportional to 12,874.02, 19,311.37 and 4,108.93 is: 6,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.02 : 19,311.37 = 4,108.93 : x
  2. Step 2: Convert to fraction form
    12,874.02/19,311.37 = 4,108.93/x
  3. Step 3: Cross multiply
    12,874.02x = 19,311.37 × 4,108.93
  4. Step 4: Simplify right side
    12,874.02x = 79,349,067.53
  5. Step 5: Solve for x
    x = 79,349,067.53/12,874.02
  6. Step 6: Final answer
    x = 6,163.50

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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.