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Finding the Fourth Proportional to 13,257.97, 18,296.10 and 7,208.21

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Solution

The fourth proportional to 13,257.97, 18,296.10 and 7,208.21 is: 9,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.97 : 18,296.10 = 7,208.21 : x
  2. Step 2: Convert to fraction form
    13,257.97/18,296.10 = 7,208.21/x
  3. Step 3: Cross multiply
    13,257.97x = 18,296.10 × 7,208.21
  4. Step 4: Simplify right side
    13,257.97x = 131,882,176.72
  5. Step 5: Solve for x
    x = 131,882,176.72/13,257.97
  6. Step 6: Final answer
    x = 9,947.39

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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.