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Finding the Fourth Proportional to 16,414.68, 24,624 and 4,728

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Solution

The fourth proportional to 16,414.68, 24,624 and 4,728 is: 7,092.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.68 : 24,624 = 4,728 : x
  2. Step 2: Convert to fraction form
    16,414.68/24,624 = 4,728/x
  3. Step 3: Cross multiply
    16,414.68x = 24,624 × 4,728
  4. Step 4: Simplify right side
    16,414.68x = 116,422,272
  5. Step 5: Solve for x
    x = 116,422,272/16,414.68
  6. Step 6: Final answer
    x = 7,092.57

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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.