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Finding the Fourth Proportional to 13,194, 18,207.72 and 7,605

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Solution

The fourth proportional to 13,194, 18,207.72 and 7,605 is: 10,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194 : 18,207.72 = 7,605 : x
  2. Step 2: Convert to fraction form
    13,194/18,207.72 = 7,605/x
  3. Step 3: Cross multiply
    13,194x = 18,207.72 × 7,605
  4. Step 4: Simplify right side
    13,194x = 138,469,710.60
  5. Step 5: Solve for x
    x = 138,469,710.60/13,194
  6. Step 6: Final answer
    x = 10,494.90

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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.