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Finding the Fourth Proportional to 12,076.16, 18,113.72 and 3,311.92

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Solution

The fourth proportional to 12,076.16, 18,113.72 and 3,311.92 is: 4,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.16 : 18,113.72 = 3,311.92 : x
  2. Step 2: Convert to fraction form
    12,076.16/18,113.72 = 3,311.92/x
  3. Step 3: Cross multiply
    12,076.16x = 18,113.72 × 3,311.92
  4. Step 4: Simplify right side
    12,076.16x = 59,991,191.54
  5. Step 5: Solve for x
    x = 59,991,191.54/12,076.16
  6. Step 6: Final answer
    x = 4,967.74

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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.