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Finding the Fourth Proportional to 26,009.25, 39,007.35 and 7,284.44

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Solution

The fourth proportional to 26,009.25, 39,007.35 and 7,284.44 is: 10,924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,009.25 : 39,007.35 = 7,284.44 : x
  2. Step 2: Convert to fraction form
    26,009.25/39,007.35 = 7,284.44/x
  3. Step 3: Cross multiply
    26,009.25x = 39,007.35 × 7,284.44
  4. Step 4: Simplify right side
    26,009.25x = 284,146,505.60
  5. Step 5: Solve for x
    x = 284,146,505.60/26,009.25
  6. Step 6: Final answer
    x = 10,924.83

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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.