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Finding the Fourth Proportional to 12,842.45, 19,267.61 and 11,517.83

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Solution

The fourth proportional to 12,842.45, 19,267.61 and 11,517.83 is: 17,280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.45 : 19,267.61 = 11,517.83 : x
  2. Step 2: Convert to fraction form
    12,842.45/19,267.61 = 11,517.83/x
  3. Step 3: Cross multiply
    12,842.45x = 19,267.61 × 11,517.83
  4. Step 4: Simplify right side
    12,842.45x = 221,920,902.56
  5. Step 5: Solve for x
    x = 221,920,902.56/12,842.45
  6. Step 6: Final answer
    x = 17,280.27

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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.