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Finding the Fourth Proportional to 13,520.12, 18,656.62 and 7,853.04

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Solution

The fourth proportional to 13,520.12, 18,656.62 and 7,853.04 is: 10,836.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,520.12 : 18,656.62 = 7,853.04 : x
  2. Step 2: Convert to fraction form
    13,520.12/18,656.62 = 7,853.04/x
  3. Step 3: Cross multiply
    13,520.12x = 18,656.62 × 7,853.04
  4. Step 4: Simplify right side
    13,520.12x = 146,511,163.49
  5. Step 5: Solve for x
    x = 146,511,163.49/13,520.12
  6. Step 6: Final answer
    x = 10,836.53

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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.