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Finding the Fourth Proportional to 13,706.37, 18,914.95 and 8,041.22

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Solution

The fourth proportional to 13,706.37, 18,914.95 and 8,041.22 is: 11,096.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.37 : 18,914.95 = 8,041.22 : x
  2. Step 2: Convert to fraction form
    13,706.37/18,914.95 = 8,041.22/x
  3. Step 3: Cross multiply
    13,706.37x = 18,914.95 × 8,041.22
  4. Step 4: Simplify right side
    13,706.37x = 152,099,216.90
  5. Step 5: Solve for x
    x = 152,099,216.90/13,706.37
  6. Step 6: Final answer
    x = 11,096.97

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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.