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Finding the Fourth Proportional to 16,193.82, 24,235.83 and 9,957.76

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Solution

The fourth proportional to 16,193.82, 24,235.83 and 9,957.76 is: 14,902.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.82 : 24,235.83 = 9,957.76 : x
  2. Step 2: Convert to fraction form
    16,193.82/24,235.83 = 9,957.76/x
  3. Step 3: Cross multiply
    16,193.82x = 24,235.83 × 9,957.76
  4. Step 4: Simplify right side
    16,193.82x = 241,334,614.12
  5. Step 5: Solve for x
    x = 241,334,614.12/16,193.82
  6. Step 6: Final answer
    x = 14,902.88

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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.