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Finding the Fourth Proportional to 13,176.92, 18,183.72 and 7,208.42

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Solution

The fourth proportional to 13,176.92, 18,183.72 and 7,208.42 is: 9,947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,176.92 : 18,183.72 = 7,208.42 : x
  2. Step 2: Convert to fraction form
    13,176.92/18,183.72 = 7,208.42/x
  3. Step 3: Cross multiply
    13,176.92x = 18,183.72 × 7,208.42
  4. Step 4: Simplify right side
    13,176.92x = 131,075,890.92
  5. Step 5: Solve for x
    x = 131,075,890.92/13,176.92
  6. Step 6: Final answer
    x = 9,947.38

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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.