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Finding the Fourth Proportional to 13,552, 20,325.12 and 10,969.60

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Solution

The fourth proportional to 13,552, 20,325.12 and 10,969.60 is: 16,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,552 : 20,325.12 = 10,969.60 : x
  2. Step 2: Convert to fraction form
    13,552/20,325.12 = 10,969.60/x
  3. Step 3: Cross multiply
    13,552x = 20,325.12 × 10,969.60
  4. Step 4: Simplify right side
    13,552x = 222,958,436.35
  5. Step 5: Solve for x
    x = 222,958,436.35/13,552
  6. Step 6: Final answer
    x = 16,452.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.