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Finding the Fourth Proportional to 13,188.64, 18,200.82 and 7,524.31

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Solution

The fourth proportional to 13,188.64, 18,200.82 and 7,524.31 is: 10,383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.64 : 18,200.82 = 7,524.31 : x
  2. Step 2: Convert to fraction form
    13,188.64/18,200.82 = 7,524.31/x
  3. Step 3: Cross multiply
    13,188.64x = 18,200.82 × 7,524.31
  4. Step 4: Simplify right side
    13,188.64x = 136,948,611.93
  5. Step 5: Solve for x
    x = 136,948,611.93/13,188.64
  6. Step 6: Final answer
    x = 10,383.83

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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.