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Finding the Fourth Proportional to 27,796.00, 41,641.68 and 13,739.57

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Solution

The fourth proportional to 27,796.00, 41,641.68 and 13,739.57 is: 20,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,796.00 : 41,641.68 = 13,739.57 : x
  2. Step 2: Convert to fraction form
    27,796.00/41,641.68 = 13,739.57/x
  3. Step 3: Cross multiply
    27,796.00x = 41,641.68 × 13,739.57
  4. Step 4: Simplify right side
    27,796.00x = 572,138,803.30
  5. Step 5: Solve for x
    x = 572,138,803.30/27,796.00
  6. Step 6: Final answer
    x = 20,583.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.