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Finding the Fourth Proportional to 17,538.57, 24,201.65 and 10,826.37

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Solution

The fourth proportional to 17,538.57, 24,201.65 and 10,826.37 is: 14,939.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.57 : 24,201.65 = 10,826.37 : x
  2. Step 2: Convert to fraction form
    17,538.57/24,201.65 = 10,826.37/x
  3. Step 3: Cross multiply
    17,538.57x = 24,201.65 × 10,826.37
  4. Step 4: Simplify right side
    17,538.57x = 262,016,044.58
  5. Step 5: Solve for x
    x = 262,016,044.58/17,538.57
  6. Step 6: Final answer
    x = 14,939.42

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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.