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Finding the Fourth Proportional to 13,202.47, 18,219.50 and 7,234.39

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Solution

The fourth proportional to 13,202.47, 18,219.50 and 7,234.39 is: 9,983.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.47 : 18,219.50 = 7,234.39 : x
  2. Step 2: Convert to fraction form
    13,202.47/18,219.50 = 7,234.39/x
  3. Step 3: Cross multiply
    13,202.47x = 18,219.50 × 7,234.39
  4. Step 4: Simplify right side
    13,202.47x = 131,806,968.61
  5. Step 5: Solve for x
    x = 131,806,968.61/13,202.47
  6. Step 6: Final answer
    x = 9,983.51

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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.