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Finding the Fourth Proportional to 12,287.44, 18,431.10 and 3,522.40

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Solution

The fourth proportional to 12,287.44, 18,431.10 and 3,522.40 is: 5,283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.44 : 18,431.10 = 3,522.40 : x
  2. Step 2: Convert to fraction form
    12,287.44/18,431.10 = 3,522.40/x
  3. Step 3: Cross multiply
    12,287.44x = 18,431.10 × 3,522.40
  4. Step 4: Simplify right side
    12,287.44x = 64,921,706.64
  5. Step 5: Solve for x
    x = 64,921,706.64/12,287.44
  6. Step 6: Final answer
    x = 5,283.58

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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.