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Finding the Fourth Proportional to 16,455, 24,696.24 and 9,694.44

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Solution

The fourth proportional to 16,455, 24,696.24 and 9,694.44 is: 14,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,455 : 24,696.24 = 9,694.44 : x
  2. Step 2: Convert to fraction form
    16,455/24,696.24 = 9,694.44/x
  3. Step 3: Cross multiply
    16,455x = 24,696.24 × 9,694.44
  4. Step 4: Simplify right side
    16,455x = 239,416,216.91
  5. Step 5: Solve for x
    x = 239,416,216.91/16,455
  6. Step 6: Final answer
    x = 14,549.75

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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.