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Finding the Fourth Proportional to 16,097.31, 22,213.53 and 8,829

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Solution

The fourth proportional to 16,097.31, 22,213.53 and 8,829 is: 12,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.31 : 22,213.53 = 8,829 : x
  2. Step 2: Convert to fraction form
    16,097.31/22,213.53 = 8,829/x
  3. Step 3: Cross multiply
    16,097.31x = 22,213.53 × 8,829
  4. Step 4: Simplify right side
    16,097.31x = 196,123,256.37
  5. Step 5: Solve for x
    x = 196,123,256.37/16,097.31
  6. Step 6: Final answer
    x = 12,183.60

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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.