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Finding the Fourth Proportional to 13,022.99, 17,977.94 and 8,245.25

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Solution

The fourth proportional to 13,022.99, 17,977.94 and 8,245.25 is: 11,382.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.99 : 17,977.94 = 8,245.25 : x
  2. Step 2: Convert to fraction form
    13,022.99/17,977.94 = 8,245.25/x
  3. Step 3: Cross multiply
    13,022.99x = 17,977.94 × 8,245.25
  4. Step 4: Simplify right side
    13,022.99x = 148,232,478.67
  5. Step 5: Solve for x
    x = 148,232,478.67/13,022.99
  6. Step 6: Final answer
    x = 11,382.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.