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Finding the Fourth Proportional to 16,493.70, 22,761 and 9,419.16

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Solution

The fourth proportional to 16,493.70, 22,761 and 9,419.16 is: 12,998.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,493.70 : 22,761 = 9,419.16 : x
  2. Step 2: Convert to fraction form
    16,493.70/22,761 = 9,419.16/x
  3. Step 3: Cross multiply
    16,493.70x = 22,761 × 9,419.16
  4. Step 4: Simplify right side
    16,493.70x = 214,389,500.76
  5. Step 5: Solve for x
    x = 214,389,500.76/16,493.70
  6. Step 6: Final answer
    x = 12,998.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.