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Finding the Fourth Proportional to 16,093.46, 24,101.21 and 8,175.15

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Solution

The fourth proportional to 16,093.46, 24,101.21 and 8,175.15 is: 12,242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,093.46 : 24,101.21 = 8,175.15 : x
  2. Step 2: Convert to fraction form
    16,093.46/24,101.21 = 8,175.15/x
  3. Step 3: Cross multiply
    16,093.46x = 24,101.21 × 8,175.15
  4. Step 4: Simplify right side
    16,093.46x = 197,031,006.93
  5. Step 5: Solve for x
    x = 197,031,006.93/16,093.46
  6. Step 6: Final answer
    x = 12,242.92

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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.