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Finding the Fourth Proportional to 13,493.60, 20,231.60 and 12,111.20

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Solution

The fourth proportional to 13,493.60, 20,231.60 and 12,111.20 is: 18,158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.60 : 20,231.60 = 12,111.20 : x
  2. Step 2: Convert to fraction form
    13,493.60/20,231.60 = 12,111.20/x
  3. Step 3: Cross multiply
    13,493.60x = 20,231.60 × 12,111.20
  4. Step 4: Simplify right side
    13,493.60x = 245,028,953.92
  5. Step 5: Solve for x
    x = 245,028,953.92/13,493.60
  6. Step 6: Final answer
    x = 18,158.90

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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.