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Finding the Fourth Proportional to 13,220.25, 19,830.39 and 3,986.25

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Solution

The fourth proportional to 13,220.25, 19,830.39 and 3,986.25 is: 5,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,220.25 : 19,830.39 = 3,986.25 : x
  2. Step 2: Convert to fraction form
    13,220.25/19,830.39 = 3,986.25/x
  3. Step 3: Cross multiply
    13,220.25x = 19,830.39 × 3,986.25
  4. Step 4: Simplify right side
    13,220.25x = 79,048,892.14
  5. Step 5: Solve for x
    x = 79,048,892.14/13,220.25
  6. Step 6: Final answer
    x = 5,979.38

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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.