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Finding the Fourth Proportional to 13,975.36, 20,962.60 and 5,210.36

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Solution

The fourth proportional to 13,975.36, 20,962.60 and 5,210.36 is: 7,815.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,975.36 : 20,962.60 = 5,210.36 : x
  2. Step 2: Convert to fraction form
    13,975.36/20,962.60 = 5,210.36/x
  3. Step 3: Cross multiply
    13,975.36x = 20,962.60 × 5,210.36
  4. Step 4: Simplify right side
    13,975.36x = 109,222,692.54
  5. Step 5: Solve for x
    x = 109,222,692.54/13,975.36
  6. Step 6: Final answer
    x = 7,815.38

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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.