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Finding the Fourth Proportional to 16,423.32, 22,664.21 and 8,971.32

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Solution

The fourth proportional to 16,423.32, 22,664.21 and 8,971.32 is: 12,380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,423.32 : 22,664.21 = 8,971.32 : x
  2. Step 2: Convert to fraction form
    16,423.32/22,664.21 = 8,971.32/x
  3. Step 3: Cross multiply
    16,423.32x = 22,664.21 × 8,971.32
  4. Step 4: Simplify right side
    16,423.32x = 203,327,835.60
  5. Step 5: Solve for x
    x = 203,327,835.60/16,423.32
  6. Step 6: Final answer
    x = 12,380.43

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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.