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Finding the Fourth Proportional to 16,297.92, 24,453.36 and 7,536.96

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Solution

The fourth proportional to 16,297.92, 24,453.36 and 7,536.96 is: 11,308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.92 : 24,453.36 = 7,536.96 : x
  2. Step 2: Convert to fraction form
    16,297.92/24,453.36 = 7,536.96/x
  3. Step 3: Cross multiply
    16,297.92x = 24,453.36 × 7,536.96
  4. Step 4: Simplify right side
    16,297.92x = 184,303,996.19
  5. Step 5: Solve for x
    x = 184,303,996.19/16,297.92
  6. Step 6: Final answer
    x = 11,308.44

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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.