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Finding the Fourth Proportional to 16,305.57, 24,453.63 and 7,415.96

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Solution

The fourth proportional to 16,305.57, 24,453.63 and 7,415.96 is: 11,121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305.57 : 24,453.63 = 7,415.96 : x
  2. Step 2: Convert to fraction form
    16,305.57/24,453.63 = 7,415.96/x
  3. Step 3: Cross multiply
    16,305.57x = 24,453.63 × 7,415.96
  4. Step 4: Simplify right side
    16,305.57x = 181,347,019.67
  5. Step 5: Solve for x
    x = 181,347,019.67/16,305.57
  6. Step 6: Final answer
    x = 11,121.78

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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.