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Finding the Fourth Proportional to 12,204.96, 18,332 and 11,860.44

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Solution

The fourth proportional to 12,204.96, 18,332 and 11,860.44 is: 17,814.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.96 : 18,332 = 11,860.44 : x
  2. Step 2: Convert to fraction form
    12,204.96/18,332 = 11,860.44/x
  3. Step 3: Cross multiply
    12,204.96x = 18,332 × 11,860.44
  4. Step 4: Simplify right side
    12,204.96x = 217,425,586.08
  5. Step 5: Solve for x
    x = 217,425,586.08/12,204.96
  6. Step 6: Final answer
    x = 17,814.53

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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.