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Finding the Fourth Proportional to 14,556, 21,834 and 3,612

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Solution

The fourth proportional to 14,556, 21,834 and 3,612 is: 5,418

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,556 : 21,834 = 3,612 : x
  2. Step 2: Convert to fraction form
    14,556/21,834 = 3,612/x
  3. Step 3: Cross multiply
    14,556x = 21,834 × 3,612
  4. Step 4: Simplify right side
    14,556x = 78,864,408
  5. Step 5: Solve for x
    x = 78,864,408/14,556
  6. Step 6: Final answer
    x = 5,418

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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.