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Finding the Fourth Proportional to 16,423.31, 22,664.18 and 8,971.31

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Solution

The fourth proportional to 16,423.31, 22,664.18 and 8,971.31 is: 12,380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,423.31 : 22,664.18 = 8,971.31 : x
  2. Step 2: Convert to fraction form
    16,423.31/22,664.18 = 8,971.31/x
  3. Step 3: Cross multiply
    16,423.31x = 22,664.18 × 8,971.31
  4. Step 4: Simplify right side
    16,423.31x = 203,327,463.76
  5. Step 5: Solve for x
    x = 203,327,463.76/16,423.31
  6. Step 6: Final answer
    x = 12,380.42

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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.