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Finding the Fourth Proportional to 12,681.26, 19,022.19 and 4,361.70

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Solution

The fourth proportional to 12,681.26, 19,022.19 and 4,361.70 is: 6,542.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.26 : 19,022.19 = 4,361.70 : x
  2. Step 2: Convert to fraction form
    12,681.26/19,022.19 = 4,361.70/x
  3. Step 3: Cross multiply
    12,681.26x = 19,022.19 × 4,361.70
  4. Step 4: Simplify right side
    12,681.26x = 82,969,058.63
  5. Step 5: Solve for x
    x = 82,969,058.63/12,681.26
  6. Step 6: Final answer
    x = 6,542.65

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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.