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Finding the Fourth Proportional to 26,646.14, 39,969.32 and 6,923.30

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Solution

The fourth proportional to 26,646.14, 39,969.32 and 6,923.30 is: 10,384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,646.14 : 39,969.32 = 6,923.30 : x
  2. Step 2: Convert to fraction form
    26,646.14/39,969.32 = 6,923.30/x
  3. Step 3: Cross multiply
    26,646.14x = 39,969.32 × 6,923.30
  4. Step 4: Simplify right side
    26,646.14x = 276,719,410.62
  5. Step 5: Solve for x
    x = 276,719,410.62/26,646.14
  6. Step 6: Final answer
    x = 10,384.97

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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.