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Finding the Fourth Proportional to 13,449.57, 20,072.64 and 13,099.65

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Solution

The fourth proportional to 13,449.57, 20,072.64 and 13,099.65 is: 19,550.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,449.57 : 20,072.64 = 13,099.65 : x
  2. Step 2: Convert to fraction form
    13,449.57/20,072.64 = 13,099.65/x
  3. Step 3: Cross multiply
    13,449.57x = 20,072.64 × 13,099.65
  4. Step 4: Simplify right side
    13,449.57x = 262,944,558.58
  5. Step 5: Solve for x
    x = 262,944,558.58/13,449.57
  6. Step 6: Final answer
    x = 19,550.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.