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Finding the Fourth Proportional to 16,141.20, 24,213.96 and 5,048.64

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Solution

The fourth proportional to 16,141.20, 24,213.96 and 5,048.64 is: 7,573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.20 : 24,213.96 = 5,048.64 : x
  2. Step 2: Convert to fraction form
    16,141.20/24,213.96 = 5,048.64/x
  3. Step 3: Cross multiply
    16,141.20x = 24,213.96 × 5,048.64
  4. Step 4: Simplify right side
    16,141.20x = 122,247,567.01
  5. Step 5: Solve for x
    x = 122,247,567.01/16,141.20
  6. Step 6: Final answer
    x = 7,573.64

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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.