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Finding the Fourth Proportional to 14,382.23, 19,847.56 and 8,412.74

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Solution

The fourth proportional to 14,382.23, 19,847.56 and 8,412.74 is: 11,609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.23 : 19,847.56 = 8,412.74 : x
  2. Step 2: Convert to fraction form
    14,382.23/19,847.56 = 8,412.74/x
  3. Step 3: Cross multiply
    14,382.23x = 19,847.56 × 8,412.74
  4. Step 4: Simplify right side
    14,382.23x = 166,972,361.91
  5. Step 5: Solve for x
    x = 166,972,361.91/14,382.23
  6. Step 6: Final answer
    x = 11,609.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.