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Finding the Fourth Proportional to 16,186.82, 24,253.50 and 7,402.37

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Solution

The fourth proportional to 16,186.82, 24,253.50 and 7,402.37 is: 11,091.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.82 : 24,253.50 = 7,402.37 : x
  2. Step 2: Convert to fraction form
    16,186.82/24,253.50 = 7,402.37/x
  3. Step 3: Cross multiply
    16,186.82x = 24,253.50 × 7,402.37
  4. Step 4: Simplify right side
    16,186.82x = 179,533,469.19
  5. Step 5: Solve for x
    x = 179,533,469.19/16,186.82
  6. Step 6: Final answer
    x = 11,091.33

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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.