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Finding the Fourth Proportional to 12,166.37, 18,254.32 and 4,769.56

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Solution

The fourth proportional to 12,166.37, 18,254.32 and 4,769.56 is: 7,156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.37 : 18,254.32 = 4,769.56 : x
  2. Step 2: Convert to fraction form
    12,166.37/18,254.32 = 4,769.56/x
  3. Step 3: Cross multiply
    12,166.37x = 18,254.32 × 4,769.56
  4. Step 4: Simplify right side
    12,166.37x = 87,065,016.94
  5. Step 5: Solve for x
    x = 87,065,016.94/12,166.37
  6. Step 6: Final answer
    x = 7,156.21

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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.