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Finding the Fourth Proportional to 13,022.07, 19,506.99 and 5,992.29

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Solution

The fourth proportional to 13,022.07, 19,506.99 and 5,992.29 is: 8,976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.07 : 19,506.99 = 5,992.29 : x
  2. Step 2: Convert to fraction form
    13,022.07/19,506.99 = 5,992.29/x
  3. Step 3: Cross multiply
    13,022.07x = 19,506.99 × 5,992.29
  4. Step 4: Simplify right side
    13,022.07x = 116,891,511.15
  5. Step 5: Solve for x
    x = 116,891,511.15/13,022.07
  6. Step 6: Final answer
    x = 8,976.42

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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.