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Finding the Fourth Proportional to 12,437.36, 18,636.89 and 5,769.75

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Solution

The fourth proportional to 12,437.36, 18,636.89 and 5,769.75 is: 8,645.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,437.36 : 18,636.89 = 5,769.75 : x
  2. Step 2: Convert to fraction form
    12,437.36/18,636.89 = 5,769.75/x
  3. Step 3: Cross multiply
    12,437.36x = 18,636.89 × 5,769.75
  4. Step 4: Simplify right side
    12,437.36x = 107,530,167.23
  5. Step 5: Solve for x
    x = 107,530,167.23/12,437.36
  6. Step 6: Final answer
    x = 8,645.74

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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.