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Finding the Fourth Proportional to 16,146, 24,219 and 5,202

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Solution

The fourth proportional to 16,146, 24,219 and 5,202 is: 7,803

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146 : 24,219 = 5,202 : x
  2. Step 2: Convert to fraction form
    16,146/24,219 = 5,202/x
  3. Step 3: Cross multiply
    16,146x = 24,219 × 5,202
  4. Step 4: Simplify right side
    16,146x = 125,987,238
  5. Step 5: Solve for x
    x = 125,987,238/16,146
  6. Step 6: Final answer
    x = 7,803

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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.