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Finding the Fourth Proportional to 8,192.96, 12,289.44 and 2,036.96

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Solution

The fourth proportional to 8,192.96, 12,289.44 and 2,036.96 is: 3,055.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.96 : 12,289.44 = 2,036.96 : x
  2. Step 2: Convert to fraction form
    8,192.96/12,289.44 = 2,036.96/x
  3. Step 3: Cross multiply
    8,192.96x = 12,289.44 × 2,036.96
  4. Step 4: Simplify right side
    8,192.96x = 25,033,089.98
  5. Step 5: Solve for x
    x = 25,033,089.98/8,192.96
  6. Step 6: Final answer
    x = 3,055.44

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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.