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Finding the Fourth Proportional to 14,922.80, 22,384 and 3,829.44

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Solution

The fourth proportional to 14,922.80, 22,384 and 3,829.44 is: 5,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922.80 : 22,384 = 3,829.44 : x
  2. Step 2: Convert to fraction form
    14,922.80/22,384 = 3,829.44/x
  3. Step 3: Cross multiply
    14,922.80x = 22,384 × 3,829.44
  4. Step 4: Simplify right side
    14,922.80x = 85,718,184.96
  5. Step 5: Solve for x
    x = 85,718,184.96/14,922.80
  6. Step 6: Final answer
    x = 5,744.11

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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.