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Finding the Fourth Proportional to 14,083.21, 19,433.49 and 8,416.83

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Solution

The fourth proportional to 14,083.21, 19,433.49 and 8,416.83 is: 11,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.21 : 19,433.49 = 8,416.83 : x
  2. Step 2: Convert to fraction form
    14,083.21/19,433.49 = 8,416.83/x
  3. Step 3: Cross multiply
    14,083.21x = 19,433.49 × 8,416.83
  4. Step 4: Simplify right side
    14,083.21x = 163,568,360.98
  5. Step 5: Solve for x
    x = 163,568,360.98/14,083.21
  6. Step 6: Final answer
    x = 11,614.43

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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.