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Finding the Fourth Proportional to 14,226.78, 21,321.81 and 6,815.82

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Solution

The fourth proportional to 14,226.78, 21,321.81 and 6,815.82 is: 10,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226.78 : 21,321.81 = 6,815.82 : x
  2. Step 2: Convert to fraction form
    14,226.78/21,321.81 = 6,815.82/x
  3. Step 3: Cross multiply
    14,226.78x = 21,321.81 × 6,815.82
  4. Step 4: Simplify right side
    14,226.78x = 145,325,619.03
  5. Step 5: Solve for x
    x = 145,325,619.03/14,226.78
  6. Step 6: Final answer
    x = 10,214.93

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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.