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Finding the Fourth Proportional to 27,782.64, 41,682.74 and 10,001.12

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Solution

The fourth proportional to 27,782.64, 41,682.74 and 10,001.12 is: 15,004.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.64 : 41,682.74 = 10,001.12 : x
  2. Step 2: Convert to fraction form
    27,782.64/41,682.74 = 10,001.12/x
  3. Step 3: Cross multiply
    27,782.64x = 41,682.74 × 10,001.12
  4. Step 4: Simplify right side
    27,782.64x = 416,873,826.25
  5. Step 5: Solve for x
    x = 416,873,826.25/27,782.64
  6. Step 6: Final answer
    x = 15,004.83

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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.