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Finding the Fourth Proportional to 14,667.68, 20,241.15 and 8,294.17

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Solution

The fourth proportional to 14,667.68, 20,241.15 and 8,294.17 is: 11,445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,667.68 : 20,241.15 = 8,294.17 : x
  2. Step 2: Convert to fraction form
    14,667.68/20,241.15 = 8,294.17/x
  3. Step 3: Cross multiply
    14,667.68x = 20,241.15 × 8,294.17
  4. Step 4: Simplify right side
    14,667.68x = 167,883,539.10
  5. Step 5: Solve for x
    x = 167,883,539.10/14,667.68
  6. Step 6: Final answer
    x = 11,445.81

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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.