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Finding the Fourth Proportional to 12,297.20, 16,970.33 and 6,708.20

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Solution

The fourth proportional to 12,297.20, 16,970.33 and 6,708.20 is: 9,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.20 : 16,970.33 = 6,708.20 : x
  2. Step 2: Convert to fraction form
    12,297.20/16,970.33 = 6,708.20/x
  3. Step 3: Cross multiply
    12,297.20x = 16,970.33 × 6,708.20
  4. Step 4: Simplify right side
    12,297.20x = 113,840,249.31
  5. Step 5: Solve for x
    x = 113,840,249.31/12,297.20
  6. Step 6: Final answer
    x = 9,257.42

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