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Finding the Fourth Proportional to 13,667.25, 18,855.32 and 8,352.84

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Solution

The fourth proportional to 13,667.25, 18,855.32 and 8,352.84 is: 11,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,667.25 : 18,855.32 = 8,352.84 : x
  2. Step 2: Convert to fraction form
    13,667.25/18,855.32 = 8,352.84/x
  3. Step 3: Cross multiply
    13,667.25x = 18,855.32 × 8,352.84
  4. Step 4: Simplify right side
    13,667.25x = 157,495,471.11
  5. Step 5: Solve for x
    x = 157,495,471.11/13,667.25
  6. Step 6: Final answer
    x = 11,523.57

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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.