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Finding the Fourth Proportional to 14,066.35, 19,408.35 and 8,096.92

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Solution

The fourth proportional to 14,066.35, 19,408.35 and 8,096.92 is: 11,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,066.35 : 19,408.35 = 8,096.92 : x
  2. Step 2: Convert to fraction form
    14,066.35/19,408.35 = 8,096.92/x
  3. Step 3: Cross multiply
    14,066.35x = 19,408.35 × 8,096.92
  4. Step 4: Simplify right side
    14,066.35x = 157,147,857.28
  5. Step 5: Solve for x
    x = 157,147,857.28/14,066.35
  6. Step 6: Final answer
    x = 11,171.90

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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.