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Finding the Fourth Proportional to 14,234.81, 21,361.44 and 6,443.69

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Solution

The fourth proportional to 14,234.81, 21,361.44 and 6,443.69 is: 9,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.81 : 21,361.44 = 6,443.69 : x
  2. Step 2: Convert to fraction form
    14,234.81/21,361.44 = 6,443.69/x
  3. Step 3: Cross multiply
    14,234.81x = 21,361.44 × 6,443.69
  4. Step 4: Simplify right side
    14,234.81x = 137,646,497.31
  5. Step 5: Solve for x
    x = 137,646,497.31/14,234.81
  6. Step 6: Final answer
    x = 9,669.71

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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.