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Finding the Fourth Proportional to 26,974.30, 40,459.28 and 9,203.44

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Solution

The fourth proportional to 26,974.30, 40,459.28 and 9,203.44 is: 13,804.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,974.30 : 40,459.28 = 9,203.44 : x
  2. Step 2: Convert to fraction form
    26,974.30/40,459.28 = 9,203.44/x
  3. Step 3: Cross multiply
    26,974.30x = 40,459.28 × 9,203.44
  4. Step 4: Simplify right side
    26,974.30x = 372,364,555.92
  5. Step 5: Solve for x
    x = 372,364,555.92/26,974.30
  6. Step 6: Final answer
    x = 13,804.42

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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.