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Finding the Fourth Proportional to 12,173.15, 18,270.09 and 4,782.78

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Solution

The fourth proportional to 12,173.15, 18,270.09 and 4,782.78 is: 7,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,173.15 : 18,270.09 = 4,782.78 : x
  2. Step 2: Convert to fraction form
    12,173.15/18,270.09 = 4,782.78/x
  3. Step 3: Cross multiply
    12,173.15x = 18,270.09 × 4,782.78
  4. Step 4: Simplify right side
    12,173.15x = 87,381,821.05
  5. Step 5: Solve for x
    x = 87,381,821.05/12,173.15
  6. Step 6: Final answer
    x = 7,178.24

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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.