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Finding the Fourth Proportional to 14,711.81, 20,305.49 and 9,676.44

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Solution

The fourth proportional to 14,711.81, 20,305.49 and 9,676.44 is: 13,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.81 : 20,305.49 = 9,676.44 : x
  2. Step 2: Convert to fraction form
    14,711.81/20,305.49 = 9,676.44/x
  3. Step 3: Cross multiply
    14,711.81x = 20,305.49 × 9,676.44
  4. Step 4: Simplify right side
    14,711.81x = 196,484,807.27
  5. Step 5: Solve for x
    x = 196,484,807.27/14,711.81
  6. Step 6: Final answer
    x = 13,355.59

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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.