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Finding the Fourth Proportional to 12,674.67, 18,919.16 and 11,178.34

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Solution

The fourth proportional to 12,674.67, 18,919.16 and 11,178.34 is: 16,685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.67 : 18,919.16 = 11,178.34 : x
  2. Step 2: Convert to fraction form
    12,674.67/18,919.16 = 11,178.34/x
  3. Step 3: Cross multiply
    12,674.67x = 18,919.16 × 11,178.34
  4. Step 4: Simplify right side
    12,674.67x = 211,484,911.02
  5. Step 5: Solve for x
    x = 211,484,911.02/12,674.67
  6. Step 6: Final answer
    x = 16,685.64

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