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Finding the Fourth Proportional to 21,618.26, 32,429.06 and 8,297.66

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Solution

The fourth proportional to 21,618.26, 32,429.06 and 8,297.66 is: 12,447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,618.26 : 32,429.06 = 8,297.66 : x
  2. Step 2: Convert to fraction form
    21,618.26/32,429.06 = 8,297.66/x
  3. Step 3: Cross multiply
    21,618.26x = 32,429.06 × 8,297.66
  4. Step 4: Simplify right side
    21,618.26x = 269,085,202.29
  5. Step 5: Solve for x
    x = 269,085,202.29/21,618.26
  6. Step 6: Final answer
    x = 12,447.13

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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.