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Finding the Fourth Proportional to 14,643.14, 20,202.48 and 8,268.93

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Solution

The fourth proportional to 14,643.14, 20,202.48 and 8,268.93 is: 11,408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.14 : 20,202.48 = 8,268.93 : x
  2. Step 2: Convert to fraction form
    14,643.14/20,202.48 = 8,268.93/x
  3. Step 3: Cross multiply
    14,643.14x = 20,202.48 × 8,268.93
  4. Step 4: Simplify right side
    14,643.14x = 167,052,892.95
  5. Step 5: Solve for x
    x = 167,052,892.95/14,643.14
  6. Step 6: Final answer
    x = 11,408.27

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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.