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Finding the Fourth Proportional to 13,574.85, 18,729.78 and 8,193.04

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Solution

The fourth proportional to 13,574.85, 18,729.78 and 8,193.04 is: 11,304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.85 : 18,729.78 = 8,193.04 : x
  2. Step 2: Convert to fraction form
    13,574.85/18,729.78 = 8,193.04/x
  3. Step 3: Cross multiply
    13,574.85x = 18,729.78 × 8,193.04
  4. Step 4: Simplify right side
    13,574.85x = 153,453,743.08
  5. Step 5: Solve for x
    x = 153,453,743.08/13,574.85
  6. Step 6: Final answer
    x = 11,304.27

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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.