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Finding the Fourth Proportional to 13,246.14, 19,843.20 and 7,687.80

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Solution

The fourth proportional to 13,246.14, 19,843.20 and 7,687.80 is: 11,516.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,246.14 : 19,843.20 = 7,687.80 : x
  2. Step 2: Convert to fraction form
    13,246.14/19,843.20 = 7,687.80/x
  3. Step 3: Cross multiply
    13,246.14x = 19,843.20 × 7,687.80
  4. Step 4: Simplify right side
    13,246.14x = 152,550,552.96
  5. Step 5: Solve for x
    x = 152,550,552.96/13,246.14
  6. Step 6: Final answer
    x = 11,516.60

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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.