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Finding the Fourth Proportional to 12,381.88, 18,576.06 and 3,617.56

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Solution

The fourth proportional to 12,381.88, 18,576.06 and 3,617.56 is: 5,427.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.88 : 18,576.06 = 3,617.56 : x
  2. Step 2: Convert to fraction form
    12,381.88/18,576.06 = 3,617.56/x
  3. Step 3: Cross multiply
    12,381.88x = 18,576.06 × 3,617.56
  4. Step 4: Simplify right side
    12,381.88x = 67,200,011.61
  5. Step 5: Solve for x
    x = 67,200,011.61/12,381.88
  6. Step 6: Final answer
    x = 5,427.29

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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.