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Finding the Fourth Proportional to 12,084.93, 18,123.03 and 4,185.30

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Solution

The fourth proportional to 12,084.93, 18,123.03 and 4,185.30 is: 6,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.93 : 18,123.03 = 4,185.30 : x
  2. Step 2: Convert to fraction form
    12,084.93/18,123.03 = 4,185.30/x
  3. Step 3: Cross multiply
    12,084.93x = 18,123.03 × 4,185.30
  4. Step 4: Simplify right side
    12,084.93x = 75,850,317.46
  5. Step 5: Solve for x
    x = 75,850,317.46/12,084.93
  6. Step 6: Final answer
    x = 6,276.44

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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.