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Finding the Fourth Proportional to 14,838, 22,229.19 and 7,433.79

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Solution

The fourth proportional to 14,838, 22,229.19 and 7,433.79 is: 11,136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838 : 22,229.19 = 7,433.79 : x
  2. Step 2: Convert to fraction form
    14,838/22,229.19 = 7,433.79/x
  3. Step 3: Cross multiply
    14,838x = 22,229.19 × 7,433.79
  4. Step 4: Simplify right side
    14,838x = 165,247,130.33
  5. Step 5: Solve for x
    x = 165,247,130.33/14,838
  6. Step 6: Final answer
    x = 11,136.75

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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.