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Finding the Fourth Proportional to 20,597.25, 28,424.24 and 11,165.83

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Solution

The fourth proportional to 20,597.25, 28,424.24 and 11,165.83 is: 15,408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,597.25 : 28,424.24 = 11,165.83 : x
  2. Step 2: Convert to fraction form
    20,597.25/28,424.24 = 11,165.83/x
  3. Step 3: Cross multiply
    20,597.25x = 28,424.24 × 11,165.83
  4. Step 4: Simplify right side
    20,597.25x = 317,380,231.72
  5. Step 5: Solve for x
    x = 317,380,231.72/20,597.25
  6. Step 6: Final answer
    x = 15,408.86

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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.