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Finding the Fourth Proportional to 13,570.26, 20,357.82 and 6,994.68

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Solution

The fourth proportional to 13,570.26, 20,357.82 and 6,994.68 is: 10,493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.26 : 20,357.82 = 6,994.68 : x
  2. Step 2: Convert to fraction form
    13,570.26/20,357.82 = 6,994.68/x
  3. Step 3: Cross multiply
    13,570.26x = 20,357.82 × 6,994.68
  4. Step 4: Simplify right side
    13,570.26x = 142,396,436.40
  5. Step 5: Solve for x
    x = 142,396,436.40/13,570.26
  6. Step 6: Final answer
    x = 10,493.27

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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.