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Finding the Fourth Proportional to 12,202.50, 16,839.81 and 7,485.78

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Solution

The fourth proportional to 12,202.50, 16,839.81 and 7,485.78 is: 10,330.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.50 : 16,839.81 = 7,485.78 : x
  2. Step 2: Convert to fraction form
    12,202.50/16,839.81 = 7,485.78/x
  3. Step 3: Cross multiply
    12,202.50x = 16,839.81 × 7,485.78
  4. Step 4: Simplify right side
    12,202.50x = 126,059,112.90
  5. Step 5: Solve for x
    x = 126,059,112.90/12,202.50
  6. Step 6: Final answer
    x = 10,330.60

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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.