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Finding the Fourth Proportional to 13,351.50, 20,027.52 and 4,117.50

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Solution

The fourth proportional to 13,351.50, 20,027.52 and 4,117.50 is: 6,176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,351.50 : 20,027.52 = 4,117.50 : x
  2. Step 2: Convert to fraction form
    13,351.50/20,027.52 = 4,117.50/x
  3. Step 3: Cross multiply
    13,351.50x = 20,027.52 × 4,117.50
  4. Step 4: Simplify right side
    13,351.50x = 82,463,313.60
  5. Step 5: Solve for x
    x = 82,463,313.60/13,351.50
  6. Step 6: Final answer
    x = 6,176.33

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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.