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Finding the Fourth Proportional to 16,500.56, 24,738 and 11,221.76

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Solution

The fourth proportional to 16,500.56, 24,738 and 11,221.76 is: 16,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.56 : 24,738 = 11,221.76 : x
  2. Step 2: Convert to fraction form
    16,500.56/24,738 = 11,221.76/x
  3. Step 3: Cross multiply
    16,500.56x = 24,738 × 11,221.76
  4. Step 4: Simplify right side
    16,500.56x = 277,603,898.88
  5. Step 5: Solve for x
    x = 277,603,898.88/16,500.56
  6. Step 6: Final answer
    x = 16,823.91

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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.