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Finding the Fourth Proportional to 14,189.82, 21,284.73 and 6,396.54

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Solution

The fourth proportional to 14,189.82, 21,284.73 and 6,396.54 is: 9,594.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,189.82 : 21,284.73 = 6,396.54 : x
  2. Step 2: Convert to fraction form
    14,189.82/21,284.73 = 6,396.54/x
  3. Step 3: Cross multiply
    14,189.82x = 21,284.73 × 6,396.54
  4. Step 4: Simplify right side
    14,189.82x = 136,148,626.83
  5. Step 5: Solve for x
    x = 136,148,626.83/14,189.82
  6. Step 6: Final answer
    x = 9,594.81

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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.