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Finding the Fourth Proportional to 13,581.68, 20,374.04 and 12,186.44

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Solution

The fourth proportional to 13,581.68, 20,374.04 and 12,186.44 is: 18,281.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,581.68 : 20,374.04 = 12,186.44 : x
  2. Step 2: Convert to fraction form
    13,581.68/20,374.04 = 12,186.44/x
  3. Step 3: Cross multiply
    13,581.68x = 20,374.04 × 12,186.44
  4. Step 4: Simplify right side
    13,581.68x = 248,286,853.22
  5. Step 5: Solve for x
    x = 248,286,853.22/13,581.68
  6. Step 6: Final answer
    x = 18,281.02

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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.