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Finding the Fourth Proportional to 20,461.86, 28,236.24 and 11,509.74

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Solution

The fourth proportional to 20,461.86, 28,236.24 and 11,509.74 is: 15,882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,461.86 : 28,236.24 = 11,509.74 : x
  2. Step 2: Convert to fraction form
    20,461.86/28,236.24 = 11,509.74/x
  3. Step 3: Cross multiply
    20,461.86x = 28,236.24 × 11,509.74
  4. Step 4: Simplify right side
    20,461.86x = 324,991,780.98
  5. Step 5: Solve for x
    x = 324,991,780.98/20,461.86
  6. Step 6: Final answer
    x = 15,882.81

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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.