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Finding the Fourth Proportional to 16,163, 24,244.50 and 5,219

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Solution

The fourth proportional to 16,163, 24,244.50 and 5,219 is: 7,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,163 : 24,244.50 = 5,219 : x
  2. Step 2: Convert to fraction form
    16,163/24,244.50 = 5,219/x
  3. Step 3: Cross multiply
    16,163x = 24,244.50 × 5,219
  4. Step 4: Simplify right side
    16,163x = 126,532,045.50
  5. Step 5: Solve for x
    x = 126,532,045.50/16,163
  6. Step 6: Final answer
    x = 7,828.50

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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.