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Finding the Fourth Proportional to 12,872.26, 19,294.59 and 8,428.24

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Solution

The fourth proportional to 12,872.26, 19,294.59 and 8,428.24 is: 12,633.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.26 : 19,294.59 = 8,428.24 : x
  2. Step 2: Convert to fraction form
    12,872.26/19,294.59 = 8,428.24/x
  3. Step 3: Cross multiply
    12,872.26x = 19,294.59 × 8,428.24
  4. Step 4: Simplify right side
    12,872.26x = 162,619,435.22
  5. Step 5: Solve for x
    x = 162,619,435.22/12,872.26
  6. Step 6: Final answer
    x = 12,633.32

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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.