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Finding the Fourth Proportional to 26,874.54, 40,315.46 and 9,342.10

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Solution

The fourth proportional to 26,874.54, 40,315.46 and 9,342.10 is: 14,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,874.54 : 40,315.46 = 9,342.10 : x
  2. Step 2: Convert to fraction form
    26,874.54/40,315.46 = 9,342.10/x
  3. Step 3: Cross multiply
    26,874.54x = 40,315.46 × 9,342.10
  4. Step 4: Simplify right side
    26,874.54x = 376,631,058.87
  5. Step 5: Solve for x
    x = 376,631,058.87/26,874.54
  6. Step 6: Final answer
    x = 14,014.42

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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.