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Finding the Fourth Proportional to 12,002.26, 17,991.09 and 4,604.74

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Solution

The fourth proportional to 12,002.26, 17,991.09 and 4,604.74 is: 6,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.26 : 17,991.09 = 4,604.74 : x
  2. Step 2: Convert to fraction form
    12,002.26/17,991.09 = 4,604.74/x
  3. Step 3: Cross multiply
    12,002.26x = 17,991.09 × 4,604.74
  4. Step 4: Simplify right side
    12,002.26x = 82,844,291.77
  5. Step 5: Solve for x
    x = 82,844,291.77/12,002.26
  6. Step 6: Final answer
    x = 6,902.39

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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.