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Finding the Fourth Proportional to 12,449.49, 18,646.32 and 9,667.75

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Solution

The fourth proportional to 12,449.49, 18,646.32 and 9,667.75 is: 14,479.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,449.49 : 18,646.32 = 9,667.75 : x
  2. Step 2: Convert to fraction form
    12,449.49/18,646.32 = 9,667.75/x
  3. Step 3: Cross multiply
    12,449.49x = 18,646.32 × 9,667.75
  4. Step 4: Simplify right side
    12,449.49x = 180,267,960.18
  5. Step 5: Solve for x
    x = 180,267,960.18/12,449.49
  6. Step 6: Final answer
    x = 14,479.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.