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Finding the Fourth Proportional to 13,396.74, 20,091.93 and 5,497.14

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Solution

The fourth proportional to 13,396.74, 20,091.93 and 5,497.14 is: 8,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,396.74 : 20,091.93 = 5,497.14 : x
  2. Step 2: Convert to fraction form
    13,396.74/20,091.93 = 5,497.14/x
  3. Step 3: Cross multiply
    13,396.74x = 20,091.93 × 5,497.14
  4. Step 4: Simplify right side
    13,396.74x = 110,448,152.08
  5. Step 5: Solve for x
    x = 110,448,152.08/13,396.74
  6. Step 6: Final answer
    x = 8,244.41

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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.