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Finding the Fourth Proportional to 13,201.12, 18,217.54 and 7,232.88

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Solution

The fourth proportional to 13,201.12, 18,217.54 and 7,232.88 is: 9,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.12 : 18,217.54 = 7,232.88 : x
  2. Step 2: Convert to fraction form
    13,201.12/18,217.54 = 7,232.88/x
  3. Step 3: Cross multiply
    13,201.12x = 18,217.54 × 7,232.88
  4. Step 4: Simplify right side
    13,201.12x = 131,765,280.72
  5. Step 5: Solve for x
    x = 131,765,280.72/13,201.12
  6. Step 6: Final answer
    x = 9,981.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.