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Finding the Fourth Proportional to 13,447.82, 18,559.68 and 8,142.68

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Solution

The fourth proportional to 13,447.82, 18,559.68 and 8,142.68 is: 11,237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.82 : 18,559.68 = 8,142.68 : x
  2. Step 2: Convert to fraction form
    13,447.82/18,559.68 = 8,142.68/x
  3. Step 3: Cross multiply
    13,447.82x = 18,559.68 × 8,142.68
  4. Step 4: Simplify right side
    13,447.82x = 151,125,535.14
  5. Step 5: Solve for x
    x = 151,125,535.14/13,447.82
  6. Step 6: Final answer
    x = 11,237.92

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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.