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Finding the Fourth Proportional to 16,229.54, 22,396.77 and 9,157.46

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Solution

The fourth proportional to 16,229.54, 22,396.77 and 9,157.46 is: 12,637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.54 : 22,396.77 = 9,157.46 : x
  2. Step 2: Convert to fraction form
    16,229.54/22,396.77 = 9,157.46/x
  3. Step 3: Cross multiply
    16,229.54x = 22,396.77 × 9,157.46
  4. Step 4: Simplify right side
    16,229.54x = 205,097,525.40
  5. Step 5: Solve for x
    x = 205,097,525.40/16,229.54
  6. Step 6: Final answer
    x = 12,637.30

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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.