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Finding the Fourth Proportional to 14,768.44, 20,380.54 and 8,054.16

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Solution

The fourth proportional to 14,768.44, 20,380.54 and 8,054.16 is: 11,114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768.44 : 20,380.54 = 8,054.16 : x
  2. Step 2: Convert to fraction form
    14,768.44/20,380.54 = 8,054.16/x
  3. Step 3: Cross multiply
    14,768.44x = 20,380.54 × 8,054.16
  4. Step 4: Simplify right side
    14,768.44x = 164,148,130.05
  5. Step 5: Solve for x
    x = 164,148,130.05/14,768.44
  6. Step 6: Final answer
    x = 11,114.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.