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Finding the Fourth Proportional to 13,202.89, 18,220.41 and 7,234.94

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Solution

The fourth proportional to 13,202.89, 18,220.41 and 7,234.94 is: 9,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.89 : 18,220.41 = 7,234.94 : x
  2. Step 2: Convert to fraction form
    13,202.89/18,220.41 = 7,234.94/x
  3. Step 3: Cross multiply
    13,202.89x = 18,220.41 × 7,234.94
  4. Step 4: Simplify right side
    13,202.89x = 131,823,482.02
  5. Step 5: Solve for x
    x = 131,823,482.02/13,202.89
  6. Step 6: Final answer
    x = 9,984.45

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