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Finding the Fourth Proportional to 13,540.92, 20,313.06 and 4,774.08

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Solution

The fourth proportional to 13,540.92, 20,313.06 and 4,774.08 is: 7,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.92 : 20,313.06 = 4,774.08 : x
  2. Step 2: Convert to fraction form
    13,540.92/20,313.06 = 4,774.08/x
  3. Step 3: Cross multiply
    13,540.92x = 20,313.06 × 4,774.08
  4. Step 4: Simplify right side
    13,540.92x = 96,976,173.48
  5. Step 5: Solve for x
    x = 96,976,173.48/13,540.92
  6. Step 6: Final answer
    x = 7,161.71

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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.