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Finding the Fourth Proportional to 13,202.64, 19,803.96 and 6,182.64

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Solution

The fourth proportional to 13,202.64, 19,803.96 and 6,182.64 is: 9,273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.64 : 19,803.96 = 6,182.64 : x
  2. Step 2: Convert to fraction form
    13,202.64/19,803.96 = 6,182.64/x
  3. Step 3: Cross multiply
    13,202.64x = 19,803.96 × 6,182.64
  4. Step 4: Simplify right side
    13,202.64x = 122,440,755.25
  5. Step 5: Solve for x
    x = 122,440,755.25/13,202.64
  6. Step 6: Final answer
    x = 9,273.96

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