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Finding the Fourth Proportional to 12,408.24, 18,595.94 and 9,105.84

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Solution

The fourth proportional to 12,408.24, 18,595.94 and 9,105.84 is: 13,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.24 : 18,595.94 = 9,105.84 : x
  2. Step 2: Convert to fraction form
    12,408.24/18,595.94 = 9,105.84/x
  3. Step 3: Cross multiply
    12,408.24x = 18,595.94 × 9,105.84
  4. Step 4: Simplify right side
    12,408.24x = 169,331,654.29
  5. Step 5: Solve for x
    x = 169,331,654.29/12,408.24
  6. Step 6: Final answer
    x = 13,646.71

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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.