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Finding the Fourth Proportional to 13,671.50, 18,861.27 and 8,633.84

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Solution

The fourth proportional to 13,671.50, 18,861.27 and 8,633.84 is: 11,911.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.50 : 18,861.27 = 8,633.84 : x
  2. Step 2: Convert to fraction form
    13,671.50/18,861.27 = 8,633.84/x
  3. Step 3: Cross multiply
    13,671.50x = 18,861.27 × 8,633.84
  4. Step 4: Simplify right side
    13,671.50x = 162,845,187.38
  5. Step 5: Solve for x
    x = 162,845,187.38/13,671.50
  6. Step 6: Final answer
    x = 11,911.29

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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.