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Finding the Fourth Proportional to 12,322.68, 18,469.67 and 4,929.26

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Solution

The fourth proportional to 12,322.68, 18,469.67 and 4,929.26 is: 7,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.68 : 18,469.67 = 4,929.26 : x
  2. Step 2: Convert to fraction form
    12,322.68/18,469.67 = 4,929.26/x
  3. Step 3: Cross multiply
    12,322.68x = 18,469.67 × 4,929.26
  4. Step 4: Simplify right side
    12,322.68x = 91,041,716.28
  5. Step 5: Solve for x
    x = 91,041,716.28/12,322.68
  6. Step 6: Final answer
    x = 7,388.14

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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.