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Finding the Fourth Proportional to 12,223.94, 18,336.24 and 3,457.94

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Solution

The fourth proportional to 12,223.94, 18,336.24 and 3,457.94 is: 5,187.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.94 : 18,336.24 = 3,457.94 : x
  2. Step 2: Convert to fraction form
    12,223.94/18,336.24 = 3,457.94/x
  3. Step 3: Cross multiply
    12,223.94x = 18,336.24 × 3,457.94
  4. Step 4: Simplify right side
    12,223.94x = 63,405,617.75
  5. Step 5: Solve for x
    x = 63,405,617.75/12,223.94
  6. Step 6: Final answer
    x = 5,187.00

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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.