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Finding the Fourth Proportional to 12,096, 18,131.04 and 5,074.25

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Solution

The fourth proportional to 12,096, 18,131.04 and 5,074.25 is: 7,605.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096 : 18,131.04 = 5,074.25 : x
  2. Step 2: Convert to fraction form
    12,096/18,131.04 = 5,074.25/x
  3. Step 3: Cross multiply
    12,096x = 18,131.04 × 5,074.25
  4. Step 4: Simplify right side
    12,096x = 92,001,339.06
  5. Step 5: Solve for x
    x = 92,001,339.06/12,096
  6. Step 6: Final answer
    x = 7,605.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.