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Finding the Fourth Proportional to 13,503.06, 20,260.80 and 5,180.31

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Solution

The fourth proportional to 13,503.06, 20,260.80 and 5,180.31 is: 7,772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.06 : 20,260.80 = 5,180.31 : x
  2. Step 2: Convert to fraction form
    13,503.06/20,260.80 = 5,180.31/x
  3. Step 3: Cross multiply
    13,503.06x = 20,260.80 × 5,180.31
  4. Step 4: Simplify right side
    13,503.06x = 104,957,224.85
  5. Step 5: Solve for x
    x = 104,957,224.85/13,503.06
  6. Step 6: Final answer
    x = 7,772.85

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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.