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Finding the Fourth Proportional to 16,204.16, 24,309.90 and 4,960.48

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Solution

The fourth proportional to 16,204.16, 24,309.90 and 4,960.48 is: 7,441.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.16 : 24,309.90 = 4,960.48 : x
  2. Step 2: Convert to fraction form
    16,204.16/24,309.90 = 4,960.48/x
  3. Step 3: Cross multiply
    16,204.16x = 24,309.90 × 4,960.48
  4. Step 4: Simplify right side
    16,204.16x = 120,588,772.75
  5. Step 5: Solve for x
    x = 120,588,772.75/16,204.16
  6. Step 6: Final answer
    x = 7,441.84

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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.