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Finding the Fourth Proportional to 21,616.30, 32,439.04 and 8,467.04

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Solution

The fourth proportional to 21,616.30, 32,439.04 and 8,467.04 is: 12,706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,616.30 : 32,439.04 = 8,467.04 : x
  2. Step 2: Convert to fraction form
    21,616.30/32,439.04 = 8,467.04/x
  3. Step 3: Cross multiply
    21,616.30x = 32,439.04 × 8,467.04
  4. Step 4: Simplify right side
    21,616.30x = 274,662,649.24
  5. Step 5: Solve for x
    x = 274,662,649.24/21,616.30
  6. Step 6: Final answer
    x = 12,706.27

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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.