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Finding the Fourth Proportional to 12,178.06, 18,283.15 and 12,037.96

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Solution

The fourth proportional to 12,178.06, 18,283.15 and 12,037.96 is: 18,072.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.06 : 18,283.15 = 12,037.96 : x
  2. Step 2: Convert to fraction form
    12,178.06/18,283.15 = 12,037.96/x
  3. Step 3: Cross multiply
    12,178.06x = 18,283.15 × 12,037.96
  4. Step 4: Simplify right side
    12,178.06x = 220,091,763.43
  5. Step 5: Solve for x
    x = 220,091,763.43/12,178.06
  6. Step 6: Final answer
    x = 18,072.81

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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.