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Finding the Fourth Proportional to 16,512.56, 24,756 and 11,233.76

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Solution

The fourth proportional to 16,512.56, 24,756 and 11,233.76 is: 16,841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,512.56 : 24,756 = 11,233.76 : x
  2. Step 2: Convert to fraction form
    16,512.56/24,756 = 11,233.76/x
  3. Step 3: Cross multiply
    16,512.56x = 24,756 × 11,233.76
  4. Step 4: Simplify right side
    16,512.56x = 278,102,962.56
  5. Step 5: Solve for x
    x = 278,102,962.56/16,512.56
  6. Step 6: Final answer
    x = 16,841.90

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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.