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Finding the Fourth Proportional to 12,169.98, 18,219.38 and 11,002.67

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Solution

The fourth proportional to 12,169.98, 18,219.38 and 11,002.67 is: 16,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.98 : 18,219.38 = 11,002.67 : x
  2. Step 2: Convert to fraction form
    12,169.98/18,219.38 = 11,002.67/x
  3. Step 3: Cross multiply
    12,169.98x = 18,219.38 × 11,002.67
  4. Step 4: Simplify right side
    12,169.98x = 200,461,825.74
  5. Step 5: Solve for x
    x = 200,461,825.74/12,169.98
  6. Step 6: Final answer
    x = 16,471.83

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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.