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Finding the Fourth Proportional to 16,129.54, 24,184.89 and 6,257.28

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Solution

The fourth proportional to 16,129.54, 24,184.89 and 6,257.28 is: 9,382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.54 : 24,184.89 = 6,257.28 : x
  2. Step 2: Convert to fraction form
    16,129.54/24,184.89 = 6,257.28/x
  3. Step 3: Cross multiply
    16,129.54x = 24,184.89 × 6,257.28
  4. Step 4: Simplify right side
    16,129.54x = 151,331,628.50
  5. Step 5: Solve for x
    x = 151,331,628.50/16,129.54
  6. Step 6: Final answer
    x = 9,382.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.