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Finding the Fourth Proportional to 12,193.21, 18,296.84 and 5,172.67

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Solution

The fourth proportional to 12,193.21, 18,296.84 and 5,172.67 is: 7,761.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.21 : 18,296.84 = 5,172.67 : x
  2. Step 2: Convert to fraction form
    12,193.21/18,296.84 = 5,172.67/x
  3. Step 3: Cross multiply
    12,193.21x = 18,296.84 × 5,172.67
  4. Step 4: Simplify right side
    12,193.21x = 94,643,489.50
  5. Step 5: Solve for x
    x = 94,643,489.50/12,193.21
  6. Step 6: Final answer
    x = 7,761.98

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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.