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Finding the Fourth Proportional to 25,998.10, 38,932.35 and 20,814.10

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Solution

The fourth proportional to 25,998.10, 38,932.35 and 20,814.10 is: 31,169.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,998.10 : 38,932.35 = 20,814.10 : x
  2. Step 2: Convert to fraction form
    25,998.10/38,932.35 = 20,814.10/x
  3. Step 3: Cross multiply
    25,998.10x = 38,932.35 × 20,814.10
  4. Step 4: Simplify right side
    25,998.10x = 810,341,826.14
  5. Step 5: Solve for x
    x = 810,341,826.14/25,998.10
  6. Step 6: Final answer
    x = 31,169.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.