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Finding the Fourth Proportional to 14,789.23, 20,406.50 and 8,414.81

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Solution

The fourth proportional to 14,789.23, 20,406.50 and 8,414.81 is: 11,610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,789.23 : 20,406.50 = 8,414.81 : x
  2. Step 2: Convert to fraction form
    14,789.23/20,406.50 = 8,414.81/x
  3. Step 3: Cross multiply
    14,789.23x = 20,406.50 × 8,414.81
  4. Step 4: Simplify right side
    14,789.23x = 171,716,739.27
  5. Step 5: Solve for x
    x = 171,716,739.27/14,789.23
  6. Step 6: Final answer
    x = 11,610.93

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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.