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Finding the Fourth Proportional to 13,642.30, 18,826.19 and 7,673.97

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Solution

The fourth proportional to 13,642.30, 18,826.19 and 7,673.97 is: 10,589.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.30 : 18,826.19 = 7,673.97 : x
  2. Step 2: Convert to fraction form
    13,642.30/18,826.19 = 7,673.97/x
  3. Step 3: Cross multiply
    13,642.30x = 18,826.19 × 7,673.97
  4. Step 4: Simplify right side
    13,642.30x = 144,471,484.77
  5. Step 5: Solve for x
    x = 144,471,484.77/13,642.30
  6. Step 6: Final answer
    x = 10,589.97

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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.