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Finding the Fourth Proportional to 16,550, 24,825 and 4,862.96

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Solution

The fourth proportional to 16,550, 24,825 and 4,862.96 is: 7,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,550 : 24,825 = 4,862.96 : x
  2. Step 2: Convert to fraction form
    16,550/24,825 = 4,862.96/x
  3. Step 3: Cross multiply
    16,550x = 24,825 × 4,862.96
  4. Step 4: Simplify right side
    16,550x = 120,722,982
  5. Step 5: Solve for x
    x = 120,722,982/16,550
  6. Step 6: Final answer
    x = 7,294.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.