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Finding the Fourth Proportional to 13,642.05, 18,826.04 and 7,673.73

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Solution

The fourth proportional to 13,642.05, 18,826.04 and 7,673.73 is: 10,589.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.05 : 18,826.04 = 7,673.73 : x
  2. Step 2: Convert to fraction form
    13,642.05/18,826.04 = 7,673.73/x
  3. Step 3: Cross multiply
    13,642.05x = 18,826.04 × 7,673.73
  4. Step 4: Simplify right side
    13,642.05x = 144,465,947.93
  5. Step 5: Solve for x
    x = 144,465,947.93/13,642.05
  6. Step 6: Final answer
    x = 10,589.75

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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.