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Finding the Fourth Proportional to 23,199.38, 32,014.50 and 12,850.77

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Solution

The fourth proportional to 23,199.38, 32,014.50 and 12,850.77 is: 17,733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,199.38 : 32,014.50 = 12,850.77 : x
  2. Step 2: Convert to fraction form
    23,199.38/32,014.50 = 12,850.77/x
  3. Step 3: Cross multiply
    23,199.38x = 32,014.50 × 12,850.77
  4. Step 4: Simplify right side
    23,199.38x = 411,410,976.17
  5. Step 5: Solve for x
    x = 411,410,976.17/23,199.38
  6. Step 6: Final answer
    x = 17,733.71

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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.