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Finding the Fourth Proportional to 12,759.64, 19,142.22 and 3,874.24

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Solution

The fourth proportional to 12,759.64, 19,142.22 and 3,874.24 is: 5,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,759.64 : 19,142.22 = 3,874.24 : x
  2. Step 2: Convert to fraction form
    12,759.64/19,142.22 = 3,874.24/x
  3. Step 3: Cross multiply
    12,759.64x = 19,142.22 × 3,874.24
  4. Step 4: Simplify right side
    12,759.64x = 74,161,554.41
  5. Step 5: Solve for x
    x = 74,161,554.41/12,759.64
  6. Step 6: Final answer
    x = 5,812.20

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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.