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Finding the Fourth Proportional to 13,524.60, 20,282.10 and 9,364.60

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Solution

The fourth proportional to 13,524.60, 20,282.10 and 9,364.60 is: 14,043.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.60 : 20,282.10 = 9,364.60 : x
  2. Step 2: Convert to fraction form
    13,524.60/20,282.10 = 9,364.60/x
  3. Step 3: Cross multiply
    13,524.60x = 20,282.10 × 9,364.60
  4. Step 4: Simplify right side
    13,524.60x = 189,933,753.66
  5. Step 5: Solve for x
    x = 189,933,753.66/13,524.60
  6. Step 6: Final answer
    x = 14,043.58

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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.