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Finding the Fourth Proportional to 20,498.88, 28,288.16 and 11,546.48

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Solution

The fourth proportional to 20,498.88, 28,288.16 and 11,546.48 is: 15,933.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498.88 : 28,288.16 = 11,546.48 : x
  2. Step 2: Convert to fraction form
    20,498.88/28,288.16 = 11,546.48/x
  3. Step 3: Cross multiply
    20,498.88x = 28,288.16 × 11,546.48
  4. Step 4: Simplify right side
    20,498.88x = 326,628,673.68
  5. Step 5: Solve for x
    x = 326,628,673.68/20,498.88
  6. Step 6: Final answer
    x = 15,933.98

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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.