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Finding the Fourth Proportional to 13,654.44, 20,485.71 and 8,323.83

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Solution

The fourth proportional to 13,654.44, 20,485.71 and 8,323.83 is: 12,488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.44 : 20,485.71 = 8,323.83 : x
  2. Step 2: Convert to fraction form
    13,654.44/20,485.71 = 8,323.83/x
  3. Step 3: Cross multiply
    13,654.44x = 20,485.71 × 8,323.83
  4. Step 4: Simplify right side
    13,654.44x = 170,519,567.47
  5. Step 5: Solve for x
    x = 170,519,567.47/13,654.44
  6. Step 6: Final answer
    x = 12,488.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.