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Finding the Fourth Proportional to 14,616.21, 20,165.43 and 8,324.13

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Solution

The fourth proportional to 14,616.21, 20,165.43 and 8,324.13 is: 11,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.21 : 20,165.43 = 8,324.13 : x
  2. Step 2: Convert to fraction form
    14,616.21/20,165.43 = 8,324.13/x
  3. Step 3: Cross multiply
    14,616.21x = 20,165.43 × 8,324.13
  4. Step 4: Simplify right side
    14,616.21x = 167,859,660.83
  5. Step 5: Solve for x
    x = 167,859,660.83/14,616.21
  6. Step 6: Final answer
    x = 11,484.49

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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.