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Finding the Fourth Proportional to 14,512.20, 20,026.80 and 8,224.56

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Solution

The fourth proportional to 14,512.20, 20,026.80 and 8,224.56 is: 11,349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,512.20 : 20,026.80 = 8,224.56 : x
  2. Step 2: Convert to fraction form
    14,512.20/20,026.80 = 8,224.56/x
  3. Step 3: Cross multiply
    14,512.20x = 20,026.80 × 8,224.56
  4. Step 4: Simplify right side
    14,512.20x = 164,711,618.21
  5. Step 5: Solve for x
    x = 164,711,618.21/14,512.20
  6. Step 6: Final answer
    x = 11,349.87

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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.