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Finding the Fourth Proportional to 20,498.68, 28,288.02 and 11,546.32

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Solution

The fourth proportional to 20,498.68, 28,288.02 and 11,546.32 is: 15,933.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498.68 : 28,288.02 = 11,546.32 : x
  2. Step 2: Convert to fraction form
    20,498.68/28,288.02 = 11,546.32/x
  3. Step 3: Cross multiply
    20,498.68x = 28,288.02 × 11,546.32
  4. Step 4: Simplify right side
    20,498.68x = 326,622,531.09
  5. Step 5: Solve for x
    x = 326,622,531.09/20,498.68
  6. Step 6: Final answer
    x = 15,933.83

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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.