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Finding the Fourth Proportional to 16,199.44, 24,306.84 and 9,638.56

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Solution

The fourth proportional to 16,199.44, 24,306.84 and 9,638.56 is: 14,462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.44 : 24,306.84 = 9,638.56 : x
  2. Step 2: Convert to fraction form
    16,199.44/24,306.84 = 9,638.56/x
  3. Step 3: Cross multiply
    16,199.44x = 24,306.84 × 9,638.56
  4. Step 4: Simplify right side
    16,199.44x = 234,282,935.75
  5. Step 5: Solve for x
    x = 234,282,935.75/16,199.44
  6. Step 6: Final answer
    x = 14,462.41

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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.