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Finding the Fourth Proportional to 12,154.86, 18,237.96 and 11,958.30

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Solution

The fourth proportional to 12,154.86, 18,237.96 and 11,958.30 is: 17,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.86 : 18,237.96 = 11,958.30 : x
  2. Step 2: Convert to fraction form
    12,154.86/18,237.96 = 11,958.30/x
  3. Step 3: Cross multiply
    12,154.86x = 18,237.96 × 11,958.30
  4. Step 4: Simplify right side
    12,154.86x = 218,094,997.07
  5. Step 5: Solve for x
    x = 218,094,997.07/12,154.86
  6. Step 6: Final answer
    x = 17,943.03

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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.