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Finding the Fourth Proportional to 16,811.20, 23,189.82 and 10,512.64

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Solution

The fourth proportional to 16,811.20, 23,189.82 and 10,512.64 is: 14,501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,811.20 : 23,189.82 = 10,512.64 : x
  2. Step 2: Convert to fraction form
    16,811.20/23,189.82 = 10,512.64/x
  3. Step 3: Cross multiply
    16,811.20x = 23,189.82 × 10,512.64
  4. Step 4: Simplify right side
    16,811.20x = 243,786,229.32
  5. Step 5: Solve for x
    x = 243,786,229.32/16,811.20
  6. Step 6: Final answer
    x = 14,501.42

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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.