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Finding the Fourth Proportional to 14,543.44, 20,067.76 and 8,168.81

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Solution

The fourth proportional to 14,543.44, 20,067.76 and 8,168.81 is: 11,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.44 : 20,067.76 = 8,168.81 : x
  2. Step 2: Convert to fraction form
    14,543.44/20,067.76 = 8,168.81/x
  3. Step 3: Cross multiply
    14,543.44x = 20,067.76 × 8,168.81
  4. Step 4: Simplify right side
    14,543.44x = 163,929,741.32
  5. Step 5: Solve for x
    x = 163,929,741.32/14,543.44
  6. Step 6: Final answer
    x = 11,271.73

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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.