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Finding the Fourth Proportional to 13,309.52, 19,964.37 and 5,912

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Solution

The fourth proportional to 13,309.52, 19,964.37 and 5,912 is: 8,868.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.52 : 19,964.37 = 5,912 : x
  2. Step 2: Convert to fraction form
    13,309.52/19,964.37 = 5,912/x
  3. Step 3: Cross multiply
    13,309.52x = 19,964.37 × 5,912
  4. Step 4: Simplify right side
    13,309.52x = 118,029,355.44
  5. Step 5: Solve for x
    x = 118,029,355.44/13,309.52
  6. Step 6: Final answer
    x = 8,868.04

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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.