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Finding the Fourth Proportional to 13,175.05, 18,181.83 and 7,206.70

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Solution

The fourth proportional to 13,175.05, 18,181.83 and 7,206.70 is: 9,945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.05 : 18,181.83 = 7,206.70 : x
  2. Step 2: Convert to fraction form
    13,175.05/18,181.83 = 7,206.70/x
  3. Step 3: Cross multiply
    13,175.05x = 18,181.83 × 7,206.70
  4. Step 4: Simplify right side
    13,175.05x = 131,030,994.26
  5. Step 5: Solve for x
    x = 131,030,994.26/13,175.05
  6. Step 6: Final answer
    x = 9,945.39

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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.