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Finding the Fourth Proportional to 13,414.54, 20,121.96 and 4,054.64

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Solution

The fourth proportional to 13,414.54, 20,121.96 and 4,054.64 is: 6,082.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.54 : 20,121.96 = 4,054.64 : x
  2. Step 2: Convert to fraction form
    13,414.54/20,121.96 = 4,054.64/x
  3. Step 3: Cross multiply
    13,414.54x = 20,121.96 × 4,054.64
  4. Step 4: Simplify right side
    13,414.54x = 81,587,303.89
  5. Step 5: Solve for x
    x = 81,587,303.89/13,414.54
  6. Step 6: Final answer
    x = 6,082.01

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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.