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Finding the Fourth Proportional to 16,380.12, 24,573.48 and 6,384.36

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Solution

The fourth proportional to 16,380.12, 24,573.48 and 6,384.36 is: 9,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380.12 : 24,573.48 = 6,384.36 : x
  2. Step 2: Convert to fraction form
    16,380.12/24,573.48 = 6,384.36/x
  3. Step 3: Cross multiply
    16,380.12x = 24,573.48 × 6,384.36
  4. Step 4: Simplify right side
    16,380.12x = 156,885,942.77
  5. Step 5: Solve for x
    x = 156,885,942.77/16,380.12
  6. Step 6: Final answer
    x = 9,577.83

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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.