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Finding the Fourth Proportional to 13,409.04, 18,504.97 and 8,102.83

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Solution

The fourth proportional to 13,409.04, 18,504.97 and 8,102.83 is: 11,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.04 : 18,504.97 = 8,102.83 : x
  2. Step 2: Convert to fraction form
    13,409.04/18,504.97 = 8,102.83/x
  3. Step 3: Cross multiply
    13,409.04x = 18,504.97 × 8,102.83
  4. Step 4: Simplify right side
    13,409.04x = 149,942,626.07
  5. Step 5: Solve for x
    x = 149,942,626.07/13,409.04
  6. Step 6: Final answer
    x = 11,182.20

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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.