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Finding the Fourth Proportional to 16,094.46, 24,102.71 and 8,176.15

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Solution

The fourth proportional to 16,094.46, 24,102.71 and 8,176.15 is: 12,244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094.46 : 24,102.71 = 8,176.15 : x
  2. Step 2: Convert to fraction form
    16,094.46/24,102.71 = 8,176.15/x
  3. Step 3: Cross multiply
    16,094.46x = 24,102.71 × 8,176.15
  4. Step 4: Simplify right side
    16,094.46x = 197,067,372.37
  5. Step 5: Solve for x
    x = 197,067,372.37/16,094.46
  6. Step 6: Final answer
    x = 12,244.42

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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.