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Finding the Fourth Proportional to 16,449.16, 24,651.42 and 9,057.28

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Solution

The fourth proportional to 16,449.16, 24,651.42 and 9,057.28 is: 13,573.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.16 : 24,651.42 = 9,057.28 : x
  2. Step 2: Convert to fraction form
    16,449.16/24,651.42 = 9,057.28/x
  3. Step 3: Cross multiply
    16,449.16x = 24,651.42 × 9,057.28
  4. Step 4: Simplify right side
    16,449.16x = 223,274,813.34
  5. Step 5: Solve for x
    x = 223,274,813.34/16,449.16
  6. Step 6: Final answer
    x = 13,573.63

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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.