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Finding the Fourth Proportional to 16,158, 24,237 and 5,214

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Solution

The fourth proportional to 16,158, 24,237 and 5,214 is: 7,821

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,158 : 24,237 = 5,214 : x
  2. Step 2: Convert to fraction form
    16,158/24,237 = 5,214/x
  3. Step 3: Cross multiply
    16,158x = 24,237 × 5,214
  4. Step 4: Simplify right side
    16,158x = 126,371,718
  5. Step 5: Solve for x
    x = 126,371,718/16,158
  6. Step 6: Final answer
    x = 7,821

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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.