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Finding the Fourth Proportional to 16,489.57, 24,738.42 and 4,802.89

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Solution

The fourth proportional to 16,489.57, 24,738.42 and 4,802.89 is: 7,205.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.57 : 24,738.42 = 4,802.89 : x
  2. Step 2: Convert to fraction form
    16,489.57/24,738.42 = 4,802.89/x
  3. Step 3: Cross multiply
    16,489.57x = 24,738.42 × 4,802.89
  4. Step 4: Simplify right side
    16,489.57x = 118,815,910.03
  5. Step 5: Solve for x
    x = 118,815,910.03/16,489.57
  6. Step 6: Final answer
    x = 7,205.52

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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.