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Finding the Fourth Proportional to 14,611.40, 20,164.97 and 8,239.22

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Solution

The fourth proportional to 14,611.40, 20,164.97 and 8,239.22 is: 11,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,611.40 : 20,164.97 = 8,239.22 : x
  2. Step 2: Convert to fraction form
    14,611.40/20,164.97 = 8,239.22/x
  3. Step 3: Cross multiply
    14,611.40x = 20,164.97 × 8,239.22
  4. Step 4: Simplify right side
    14,611.40x = 166,143,695.13
  5. Step 5: Solve for x
    x = 166,143,695.13/14,611.40
  6. Step 6: Final answer
    x = 11,370.82

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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.