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Finding the Fourth Proportional to 23,791.86, 32,846.04 and 16,249.50

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Solution

The fourth proportional to 23,791.86, 32,846.04 and 16,249.50 is: 22,433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,791.86 : 32,846.04 = 16,249.50 : x
  2. Step 2: Convert to fraction form
    23,791.86/32,846.04 = 16,249.50/x
  3. Step 3: Cross multiply
    23,791.86x = 32,846.04 × 16,249.50
  4. Step 4: Simplify right side
    23,791.86x = 533,731,726.98
  5. Step 5: Solve for x
    x = 533,731,726.98/23,791.86
  6. Step 6: Final answer
    x = 22,433.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.