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Finding the Fourth Proportional to 13,620.25, 20,420.24 and 5,725.08

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Solution

The fourth proportional to 13,620.25, 20,420.24 and 5,725.08 is: 8,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,620.25 : 20,420.24 = 5,725.08 : x
  2. Step 2: Convert to fraction form
    13,620.25/20,420.24 = 5,725.08/x
  3. Step 3: Cross multiply
    13,620.25x = 20,420.24 × 5,725.08
  4. Step 4: Simplify right side
    13,620.25x = 116,907,478.99
  5. Step 5: Solve for x
    x = 116,907,478.99/13,620.25
  6. Step 6: Final answer
    x = 8,583.36

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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.