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Finding the Fourth Proportional to 14,533.92, 20,077.20 and 11,751.84

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Solution

The fourth proportional to 14,533.92, 20,077.20 and 11,751.84 is: 16,234.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,533.92 : 20,077.20 = 11,751.84 : x
  2. Step 2: Convert to fraction form
    14,533.92/20,077.20 = 11,751.84/x
  3. Step 3: Cross multiply
    14,533.92x = 20,077.20 × 11,751.84
  4. Step 4: Simplify right side
    14,533.92x = 235,944,042.05
  5. Step 5: Solve for x
    x = 235,944,042.05/14,533.92
  6. Step 6: Final answer
    x = 16,234.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.