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Finding the Fourth Proportional to 13,538.67, 20,310.55 and 6,143.65

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Solution

The fourth proportional to 13,538.67, 20,310.55 and 6,143.65 is: 9,216.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.67 : 20,310.55 = 6,143.65 : x
  2. Step 2: Convert to fraction form
    13,538.67/20,310.55 = 6,143.65/x
  3. Step 3: Cross multiply
    13,538.67x = 20,310.55 × 6,143.65
  4. Step 4: Simplify right side
    13,538.67x = 124,780,844.37
  5. Step 5: Solve for x
    x = 124,780,844.37/13,538.67
  6. Step 6: Final answer
    x = 9,216.63

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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.