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Finding the Fourth Proportional to 12,049.93, 18,071.41 and 4,152.12

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Solution

The fourth proportional to 12,049.93, 18,071.41 and 4,152.12 is: 6,226.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.93 : 18,071.41 = 4,152.12 : x
  2. Step 2: Convert to fraction form
    12,049.93/18,071.41 = 4,152.12/x
  3. Step 3: Cross multiply
    12,049.93x = 18,071.41 × 4,152.12
  4. Step 4: Simplify right side
    12,049.93x = 75,034,662.89
  5. Step 5: Solve for x
    x = 75,034,662.89/12,049.93
  6. Step 6: Final answer
    x = 6,226.98

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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.