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Finding the Fourth Proportional to 13,701.62, 18,908.27 and 7,651.83

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Solution

The fourth proportional to 13,701.62, 18,908.27 and 7,651.83 is: 10,559.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.62 : 18,908.27 = 7,651.83 : x
  2. Step 2: Convert to fraction form
    13,701.62/18,908.27 = 7,651.83/x
  3. Step 3: Cross multiply
    13,701.62x = 18,908.27 × 7,651.83
  4. Step 4: Simplify right side
    13,701.62x = 144,682,867.63
  5. Step 5: Solve for x
    x = 144,682,867.63/13,701.62
  6. Step 6: Final answer
    x = 10,559.54

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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.