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Finding the Fourth Proportional to 13,485.24, 18,612.09 and 7,819.20

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Solution

The fourth proportional to 13,485.24, 18,612.09 and 7,819.20 is: 10,791.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485.24 : 18,612.09 = 7,819.20 : x
  2. Step 2: Convert to fraction form
    13,485.24/18,612.09 = 7,819.20/x
  3. Step 3: Cross multiply
    13,485.24x = 18,612.09 × 7,819.20
  4. Step 4: Simplify right side
    13,485.24x = 145,531,654.13
  5. Step 5: Solve for x
    x = 145,531,654.13/13,485.24
  6. Step 6: Final answer
    x = 10,791.92

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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.