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Finding the Fourth Proportional to 15,093.20, 20,826 and 9,426.92

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Solution

The fourth proportional to 15,093.20, 20,826 and 9,426.92 is: 13,007.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,093.20 : 20,826 = 9,426.92 : x
  2. Step 2: Convert to fraction form
    15,093.20/20,826 = 9,426.92/x
  3. Step 3: Cross multiply
    15,093.20x = 20,826 × 9,426.92
  4. Step 4: Simplify right side
    15,093.20x = 196,325,035.92
  5. Step 5: Solve for x
    x = 196,325,035.92/15,093.20
  6. Step 6: Final answer
    x = 13,007.52

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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.