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Finding the Fourth Proportional to 12,185.46, 18,266.58 and 4,787.46

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Solution

The fourth proportional to 12,185.46, 18,266.58 and 4,787.46 is: 7,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.46 : 18,266.58 = 4,787.46 : x
  2. Step 2: Convert to fraction form
    12,185.46/18,266.58 = 4,787.46/x
  3. Step 3: Cross multiply
    12,185.46x = 18,266.58 × 4,787.46
  4. Step 4: Simplify right side
    12,185.46x = 87,450,521.09
  5. Step 5: Solve for x
    x = 87,450,521.09/12,185.46
  6. Step 6: Final answer
    x = 7,176.63

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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.