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Finding the Fourth Proportional to 13,415.50, 18,514.20 and 8,111.62

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Solution

The fourth proportional to 13,415.50, 18,514.20 and 8,111.62 is: 11,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.50 : 18,514.20 = 8,111.62 : x
  2. Step 2: Convert to fraction form
    13,415.50/18,514.20 = 8,111.62/x
  3. Step 3: Cross multiply
    13,415.50x = 18,514.20 × 8,111.62
  4. Step 4: Simplify right side
    13,415.50x = 150,180,155.00
  5. Step 5: Solve for x
    x = 150,180,155.00/13,415.50
  6. Step 6: Final answer
    x = 11,194.53

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