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Finding the Fourth Proportional to 12,223.50, 18,335.09 and 3,903.40

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Solution

The fourth proportional to 12,223.50, 18,335.09 and 3,903.40 is: 5,855.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.50 : 18,335.09 = 3,903.40 : x
  2. Step 2: Convert to fraction form
    12,223.50/18,335.09 = 3,903.40/x
  3. Step 3: Cross multiply
    12,223.50x = 18,335.09 × 3,903.40
  4. Step 4: Simplify right side
    12,223.50x = 71,569,190.31
  5. Step 5: Solve for x
    x = 71,569,190.31/12,223.50
  6. Step 6: Final answer
    x = 5,855.05

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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.