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Finding the Fourth Proportional to 16,494.02, 24,747.24 and 9,924.81

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Solution

The fourth proportional to 16,494.02, 24,747.24 and 9,924.81 is: 14,890.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.02 : 24,747.24 = 9,924.81 : x
  2. Step 2: Convert to fraction form
    16,494.02/24,747.24 = 9,924.81/x
  3. Step 3: Cross multiply
    16,494.02x = 24,747.24 × 9,924.81
  4. Step 4: Simplify right side
    16,494.02x = 245,611,655.02
  5. Step 5: Solve for x
    x = 245,611,655.02/16,494.02
  6. Step 6: Final answer
    x = 14,890.96

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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.