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Finding the Fourth Proportional to 12,329, 18,493.50 and 4,121

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Solution

The fourth proportional to 12,329, 18,493.50 and 4,121 is: 6,181.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329 : 18,493.50 = 4,121 : x
  2. Step 2: Convert to fraction form
    12,329/18,493.50 = 4,121/x
  3. Step 3: Cross multiply
    12,329x = 18,493.50 × 4,121
  4. Step 4: Simplify right side
    12,329x = 76,211,713.50
  5. Step 5: Solve for x
    x = 76,211,713.50/12,329
  6. Step 6: Final answer
    x = 6,181.50

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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.