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Finding the Fourth Proportional to 16,498.44, 22,757.77 and 9,779.57

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Solution

The fourth proportional to 16,498.44, 22,757.77 and 9,779.57 is: 13,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.44 : 22,757.77 = 9,779.57 : x
  2. Step 2: Convert to fraction form
    16,498.44/22,757.77 = 9,779.57/x
  3. Step 3: Cross multiply
    16,498.44x = 22,757.77 × 9,779.57
  4. Step 4: Simplify right side
    16,498.44x = 222,561,133.53
  5. Step 5: Solve for x
    x = 222,561,133.53/16,498.44
  6. Step 6: Final answer
    x = 13,489.83

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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.