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Finding the Fourth Proportional to 12,238.38, 18,365.76 and 4,447.19

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Solution

The fourth proportional to 12,238.38, 18,365.76 and 4,447.19 is: 6,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.38 : 18,365.76 = 4,447.19 : x
  2. Step 2: Convert to fraction form
    12,238.38/18,365.76 = 4,447.19/x
  3. Step 3: Cross multiply
    12,238.38x = 18,365.76 × 4,447.19
  4. Step 4: Simplify right side
    12,238.38x = 81,676,070.13
  5. Step 5: Solve for x
    x = 81,676,070.13/12,238.38
  6. Step 6: Final answer
    x = 6,673.76

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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.