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Finding the Fourth Proportional to 29,121.04, 43,683.20 and 8,344

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Solution

The fourth proportional to 29,121.04, 43,683.20 and 8,344 is: 12,516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,121.04 : 43,683.20 = 8,344 : x
  2. Step 2: Convert to fraction form
    29,121.04/43,683.20 = 8,344/x
  3. Step 3: Cross multiply
    29,121.04x = 43,683.20 × 8,344
  4. Step 4: Simplify right side
    29,121.04x = 364,492,620.80
  5. Step 5: Solve for x
    x = 364,492,620.80/29,121.04
  6. Step 6: Final answer
    x = 12,516.47

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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.