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Finding the Fourth Proportional to 10,361.43, 14,205.81 and 10,174.77

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Solution

The fourth proportional to 10,361.43, 14,205.81 and 10,174.77 is: 13,949.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.43 : 14,205.81 = 10,174.77 : x
  2. Step 2: Convert to fraction form
    10,361.43/14,205.81 = 10,174.77/x
  3. Step 3: Cross multiply
    10,361.43x = 14,205.81 × 10,174.77
  4. Step 4: Simplify right side
    10,361.43x = 144,540,849.41
  5. Step 5: Solve for x
    x = 144,540,849.41/10,361.43
  6. Step 6: Final answer
    x = 13,949.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.