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Finding the Fourth Proportional to 16,097.49, 24,142.73 and 8,191.62

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Solution

The fourth proportional to 16,097.49, 24,142.73 and 8,191.62 is: 12,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.49 : 24,142.73 = 8,191.62 : x
  2. Step 2: Convert to fraction form
    16,097.49/24,142.73 = 8,191.62/x
  3. Step 3: Cross multiply
    16,097.49x = 24,142.73 × 8,191.62
  4. Step 4: Simplify right side
    16,097.49x = 197,768,028.96
  5. Step 5: Solve for x
    x = 197,768,028.96/16,097.49
  6. Step 6: Final answer
    x = 12,285.64

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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.