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Finding the Fourth Proportional to 13,606, 18,775.92 and 7,638.32

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Solution

The fourth proportional to 13,606, 18,775.92 and 7,638.32 is: 10,540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,606 : 18,775.92 = 7,638.32 : x
  2. Step 2: Convert to fraction form
    13,606/18,775.92 = 7,638.32/x
  3. Step 3: Cross multiply
    13,606x = 18,775.92 × 7,638.32
  4. Step 4: Simplify right side
    13,606x = 143,416,485.25
  5. Step 5: Solve for x
    x = 143,416,485.25/13,606
  6. Step 6: Final answer
    x = 10,540.68

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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.