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Finding the Fourth Proportional to 12,178.60, 18,163.88 and 11,968

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Solution

The fourth proportional to 12,178.60, 18,163.88 and 11,968 is: 17,849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.60 : 18,163.88 = 11,968 : x
  2. Step 2: Convert to fraction form
    12,178.60/18,163.88 = 11,968/x
  3. Step 3: Cross multiply
    12,178.60x = 18,163.88 × 11,968
  4. Step 4: Simplify right side
    12,178.60x = 217,385,315.84
  5. Step 5: Solve for x
    x = 217,385,315.84/12,178.60
  6. Step 6: Final answer
    x = 17,849.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.