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Finding the Fourth Proportional to 14,480.83, 19,986.92 and 8,195.23

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Solution

The fourth proportional to 14,480.83, 19,986.92 and 8,195.23 is: 11,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,480.83 : 19,986.92 = 8,195.23 : x
  2. Step 2: Convert to fraction form
    14,480.83/19,986.92 = 8,195.23/x
  3. Step 3: Cross multiply
    14,480.83x = 19,986.92 × 8,195.23
  4. Step 4: Simplify right side
    14,480.83x = 163,797,406.39
  5. Step 5: Solve for x
    x = 163,797,406.39/14,480.83
  6. Step 6: Final answer
    x = 11,311.33

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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.