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Finding the Fourth Proportional to 13,385.06, 18,474.48 and 8,909

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Solution

The fourth proportional to 13,385.06, 18,474.48 and 8,909 is: 12,296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.06 : 18,474.48 = 8,909 : x
  2. Step 2: Convert to fraction form
    13,385.06/18,474.48 = 8,909/x
  3. Step 3: Cross multiply
    13,385.06x = 18,474.48 × 8,909
  4. Step 4: Simplify right side
    13,385.06x = 164,589,142.32
  5. Step 5: Solve for x
    x = 164,589,142.32/13,385.06
  6. Step 6: Final answer
    x = 12,296.48

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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.