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Finding the Fourth Proportional to 14,835.20, 20,471.78 and 8,119.53

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Solution

The fourth proportional to 14,835.20, 20,471.78 and 8,119.53 is: 11,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,835.20 : 20,471.78 = 8,119.53 : x
  2. Step 2: Convert to fraction form
    14,835.20/20,471.78 = 8,119.53/x
  3. Step 3: Cross multiply
    14,835.20x = 20,471.78 × 8,119.53
  4. Step 4: Simplify right side
    14,835.20x = 166,221,191.27
  5. Step 5: Solve for x
    x = 166,221,191.27/14,835.20
  6. Step 6: Final answer
    x = 11,204.52

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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.