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Finding the Fourth Proportional to 13,689.69, 20,532.16 and 3,826.63

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Solution

The fourth proportional to 13,689.69, 20,532.16 and 3,826.63 is: 5,739.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.69 : 20,532.16 = 3,826.63 : x
  2. Step 2: Convert to fraction form
    13,689.69/20,532.16 = 3,826.63/x
  3. Step 3: Cross multiply
    13,689.69x = 20,532.16 × 3,826.63
  4. Step 4: Simplify right side
    13,689.69x = 78,568,979.42
  5. Step 5: Solve for x
    x = 78,568,979.42/13,689.69
  6. Step 6: Final answer
    x = 5,739.28

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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.