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Finding the Fourth Proportional to 27,296.64, 37,657.92 and 16,682.88

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Solution

The fourth proportional to 27,296.64, 37,657.92 and 16,682.88 is: 23,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,296.64 : 37,657.92 = 16,682.88 : x
  2. Step 2: Convert to fraction form
    27,296.64/37,657.92 = 16,682.88/x
  3. Step 3: Cross multiply
    27,296.64x = 37,657.92 × 16,682.88
  4. Step 4: Simplify right side
    27,296.64x = 628,242,560.41
  5. Step 5: Solve for x
    x = 628,242,560.41/27,296.64
  6. Step 6: Final answer
    x = 23,015.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.