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Finding the Fourth Proportional to 12,162.49, 18,232.90 and 4,772.23

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Solution

The fourth proportional to 12,162.49, 18,232.90 and 4,772.23 is: 7,154.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.49 : 18,232.90 = 4,772.23 : x
  2. Step 2: Convert to fraction form
    12,162.49/18,232.90 = 4,772.23/x
  3. Step 3: Cross multiply
    12,162.49x = 18,232.90 × 4,772.23
  4. Step 4: Simplify right side
    12,162.49x = 87,011,592.37
  5. Step 5: Solve for x
    x = 87,011,592.37/12,162.49
  6. Step 6: Final answer
    x = 7,154.09

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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.