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Finding the Fourth Proportional to 14,638, 20,194.93 and 9,605

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Solution

The fourth proportional to 14,638, 20,194.93 and 9,605 is: 13,251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638 : 20,194.93 = 9,605 : x
  2. Step 2: Convert to fraction form
    14,638/20,194.93 = 9,605/x
  3. Step 3: Cross multiply
    14,638x = 20,194.93 × 9,605
  4. Step 4: Simplify right side
    14,638x = 193,972,302.65
  5. Step 5: Solve for x
    x = 193,972,302.65/14,638
  6. Step 6: Final answer
    x = 13,251.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.