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Finding the Fourth Proportional to 12,224.87, 18,329.95 and 6,670.50

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Solution

The fourth proportional to 12,224.87, 18,329.95 and 6,670.50 is: 10,001.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.87 : 18,329.95 = 6,670.50 : x
  2. Step 2: Convert to fraction form
    12,224.87/18,329.95 = 6,670.50/x
  3. Step 3: Cross multiply
    12,224.87x = 18,329.95 × 6,670.50
  4. Step 4: Simplify right side
    12,224.87x = 122,269,936.66
  5. Step 5: Solve for x
    x = 122,269,936.66/12,224.87
  6. Step 6: Final answer
    x = 10,001.73

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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.