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Finding the Fourth Proportional to 23,647.86, 32,634.27 and 13,037.87

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Solution

The fourth proportional to 23,647.86, 32,634.27 and 13,037.87 is: 17,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,647.86 : 32,634.27 = 13,037.87 : x
  2. Step 2: Convert to fraction form
    23,647.86/32,634.27 = 13,037.87/x
  3. Step 3: Cross multiply
    23,647.86x = 32,634.27 × 13,037.87
  4. Step 4: Simplify right side
    23,647.86x = 425,481,369.80
  5. Step 5: Solve for x
    x = 425,481,369.80/23,647.86
  6. Step 6: Final answer
    x = 17,992.38

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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.