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Finding the Fourth Proportional to 13,689.41, 20,530.46 and 5,896.40

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Solution

The fourth proportional to 13,689.41, 20,530.46 and 5,896.40 is: 8,843.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.41 : 20,530.46 = 5,896.40 : x
  2. Step 2: Convert to fraction form
    13,689.41/20,530.46 = 5,896.40/x
  3. Step 3: Cross multiply
    13,689.41x = 20,530.46 × 5,896.40
  4. Step 4: Simplify right side
    13,689.41x = 121,055,716.43
  5. Step 5: Solve for x
    x = 121,055,716.43/13,689.41
  6. Step 6: Final answer
    x = 8,843.02

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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.