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Finding the Fourth Proportional to 13,645.89, 18,836.61 and 9,182.37

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Solution

The fourth proportional to 13,645.89, 18,836.61 and 9,182.37 is: 12,675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.89 : 18,836.61 = 9,182.37 : x
  2. Step 2: Convert to fraction form
    13,645.89/18,836.61 = 9,182.37/x
  3. Step 3: Cross multiply
    13,645.89x = 18,836.61 × 9,182.37
  4. Step 4: Simplify right side
    13,645.89x = 172,964,722.57
  5. Step 5: Solve for x
    x = 172,964,722.57/13,645.89
  6. Step 6: Final answer
    x = 12,675.22

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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.