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Finding the Fourth Proportional to 16,478.91, 24,724.86 and 7,238.43

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Solution

The fourth proportional to 16,478.91, 24,724.86 and 7,238.43 is: 10,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.91 : 24,724.86 = 7,238.43 : x
  2. Step 2: Convert to fraction form
    16,478.91/24,724.86 = 7,238.43/x
  3. Step 3: Cross multiply
    16,478.91x = 24,724.86 × 7,238.43
  4. Step 4: Simplify right side
    16,478.91x = 178,969,168.37
  5. Step 5: Solve for x
    x = 178,969,168.37/16,478.91
  6. Step 6: Final answer
    x = 10,860.50

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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.