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Finding the Fourth Proportional to 18,646.26, 27,980.34 and 6,960.39

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Solution

The fourth proportional to 18,646.26, 27,980.34 and 6,960.39 is: 10,444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646.26 : 27,980.34 = 6,960.39 : x
  2. Step 2: Convert to fraction form
    18,646.26/27,980.34 = 6,960.39/x
  3. Step 3: Cross multiply
    18,646.26x = 27,980.34 × 6,960.39
  4. Step 4: Simplify right side
    18,646.26x = 194,754,078.73
  5. Step 5: Solve for x
    x = 194,754,078.73/18,646.26
  6. Step 6: Final answer
    x = 10,444.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.