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Finding the Fourth Proportional to 13,538.93, 20,310.27 and 4,179.69

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Solution

The fourth proportional to 13,538.93, 20,310.27 and 4,179.69 is: 6,270.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.93 : 20,310.27 = 4,179.69 : x
  2. Step 2: Convert to fraction form
    13,538.93/20,310.27 = 4,179.69/x
  3. Step 3: Cross multiply
    13,538.93x = 20,310.27 × 4,179.69
  4. Step 4: Simplify right side
    13,538.93x = 84,890,632.42
  5. Step 5: Solve for x
    x = 84,890,632.42/13,538.93
  6. Step 6: Final answer
    x = 6,270.12

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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.