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Finding the Fourth Proportional to 13,596.33, 20,390.54 and 5,698.63

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Solution

The fourth proportional to 13,596.33, 20,390.54 and 5,698.63 is: 8,546.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,596.33 : 20,390.54 = 5,698.63 : x
  2. Step 2: Convert to fraction form
    13,596.33/20,390.54 = 5,698.63/x
  3. Step 3: Cross multiply
    13,596.33x = 20,390.54 × 5,698.63
  4. Step 4: Simplify right side
    13,596.33x = 116,198,161.33
  5. Step 5: Solve for x
    x = 116,198,161.33/13,596.33
  6. Step 6: Final answer
    x = 8,546.29

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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.