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Finding the Fourth Proportional to 14,512.87, 20,026.74 and 8,138.98

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Solution

The fourth proportional to 14,512.87, 20,026.74 and 8,138.98 is: 11,231.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,512.87 : 20,026.74 = 8,138.98 : x
  2. Step 2: Convert to fraction form
    14,512.87/20,026.74 = 8,138.98/x
  3. Step 3: Cross multiply
    14,512.87x = 20,026.74 × 8,138.98
  4. Step 4: Simplify right side
    14,512.87x = 162,997,236.33
  5. Step 5: Solve for x
    x = 162,997,236.33/14,512.87
  6. Step 6: Final answer
    x = 11,231.22

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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.