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Finding the Fourth Proportional to 12,584.96, 18,877.44 and 12,378.12

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Solution

The fourth proportional to 12,584.96, 18,877.44 and 12,378.12 is: 18,567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.96 : 18,877.44 = 12,378.12 : x
  2. Step 2: Convert to fraction form
    12,584.96/18,877.44 = 12,378.12/x
  3. Step 3: Cross multiply
    12,584.96x = 18,877.44 × 12,378.12
  4. Step 4: Simplify right side
    12,584.96x = 233,667,217.61
  5. Step 5: Solve for x
    x = 233,667,217.61/12,584.96
  6. Step 6: Final answer
    x = 18,567.18

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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.