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Finding the Fourth Proportional to 13,500.16, 20,226.48 and 12,032.44

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Solution

The fourth proportional to 13,500.16, 20,226.48 and 12,032.44 is: 18,027.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500.16 : 20,226.48 = 12,032.44 : x
  2. Step 2: Convert to fraction form
    13,500.16/20,226.48 = 12,032.44/x
  3. Step 3: Cross multiply
    13,500.16x = 20,226.48 × 12,032.44
  4. Step 4: Simplify right side
    13,500.16x = 243,373,907.01
  5. Step 5: Solve for x
    x = 243,373,907.01/13,500.16
  6. Step 6: Final answer
    x = 18,027.48

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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.