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Finding the Fourth Proportional to 27,512.68, 37,965.30 and 16,182.64

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Solution

The fourth proportional to 27,512.68, 37,965.30 and 16,182.64 is: 22,330.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,512.68 : 37,965.30 = 16,182.64 : x
  2. Step 2: Convert to fraction form
    27,512.68/37,965.30 = 16,182.64/x
  3. Step 3: Cross multiply
    27,512.68x = 37,965.30 × 16,182.64
  4. Step 4: Simplify right side
    27,512.68x = 614,378,782.39
  5. Step 5: Solve for x
    x = 614,378,782.39/27,512.68
  6. Step 6: Final answer
    x = 22,330.75

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