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Finding the Fourth Proportional to 27,874.90, 41,816.46 and 13,085.32

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Solution

The fourth proportional to 27,874.90, 41,816.46 and 13,085.32 is: 19,629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.90 : 41,816.46 = 13,085.32 : x
  2. Step 2: Convert to fraction form
    27,874.90/41,816.46 = 13,085.32/x
  3. Step 3: Cross multiply
    27,874.90x = 41,816.46 × 13,085.32
  4. Step 4: Simplify right side
    27,874.90x = 547,181,760.37
  5. Step 5: Solve for x
    x = 547,181,760.37/27,874.90
  6. Step 6: Final answer
    x = 19,629.91

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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.