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Finding the Fourth Proportional to 14,835.13, 20,471.49 and 8,120.83

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Solution

The fourth proportional to 14,835.13, 20,471.49 and 8,120.83 is: 11,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,835.13 : 20,471.49 = 8,120.83 : x
  2. Step 2: Convert to fraction form
    14,835.13/20,471.49 = 8,120.83/x
  3. Step 3: Cross multiply
    14,835.13x = 20,471.49 × 8,120.83
  4. Step 4: Simplify right side
    14,835.13x = 166,245,490.14
  5. Step 5: Solve for x
    x = 166,245,490.14/14,835.13
  6. Step 6: Final answer
    x = 11,206.20

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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.