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Finding the Fourth Proportional to 13,813.52, 20,717.34 and 3,950.15

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Solution

The fourth proportional to 13,813.52, 20,717.34 and 3,950.15 is: 5,924.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.52 : 20,717.34 = 3,950.15 : x
  2. Step 2: Convert to fraction form
    13,813.52/20,717.34 = 3,950.15/x
  3. Step 3: Cross multiply
    13,813.52x = 20,717.34 × 3,950.15
  4. Step 4: Simplify right side
    13,813.52x = 81,836,548.81
  5. Step 5: Solve for x
    x = 81,836,548.81/13,813.52
  6. Step 6: Final answer
    x = 5,924.38

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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.