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Finding the Fourth Proportional to 12,196.96, 18,242.68 and 7,187.44

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Solution

The fourth proportional to 12,196.96, 18,242.68 and 7,187.44 is: 10,750.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.96 : 18,242.68 = 7,187.44 : x
  2. Step 2: Convert to fraction form
    12,196.96/18,242.68 = 7,187.44/x
  3. Step 3: Cross multiply
    12,196.96x = 18,242.68 × 7,187.44
  4. Step 4: Simplify right side
    12,196.96x = 131,118,167.94
  5. Step 5: Solve for x
    x = 131,118,167.94/12,196.96
  6. Step 6: Final answer
    x = 10,750.07

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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.