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Finding the Fourth Proportional to 26,982.26, 40,448.73 and 9,442.52

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Solution

The fourth proportional to 26,982.26, 40,448.73 and 9,442.52 is: 14,155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,982.26 : 40,448.73 = 9,442.52 : x
  2. Step 2: Convert to fraction form
    26,982.26/40,448.73 = 9,442.52/x
  3. Step 3: Cross multiply
    26,982.26x = 40,448.73 × 9,442.52
  4. Step 4: Simplify right side
    26,982.26x = 381,938,043.12
  5. Step 5: Solve for x
    x = 381,938,043.12/26,982.26
  6. Step 6: Final answer
    x = 14,155.15

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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.