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Finding the Fourth Proportional to 12,361.40, 18,531 and 4,462.04

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Solution

The fourth proportional to 12,361.40, 18,531 and 4,462.04 is: 6,689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,361.40 : 18,531 = 4,462.04 : x
  2. Step 2: Convert to fraction form
    12,361.40/18,531 = 4,462.04/x
  3. Step 3: Cross multiply
    12,361.40x = 18,531 × 4,462.04
  4. Step 4: Simplify right side
    12,361.40x = 82,686,063.24
  5. Step 5: Solve for x
    x = 82,686,063.24/12,361.40
  6. Step 6: Final answer
    x = 6,689.05

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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.