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Finding the Fourth Proportional to 16,658.29, 22,984.64 and 9,946.09

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Solution

The fourth proportional to 16,658.29, 22,984.64 and 9,946.09 is: 13,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,658.29 : 22,984.64 = 9,946.09 : x
  2. Step 2: Convert to fraction form
    16,658.29/22,984.64 = 9,946.09/x
  3. Step 3: Cross multiply
    16,658.29x = 22,984.64 × 9,946.09
  4. Step 4: Simplify right side
    16,658.29x = 228,607,183.13
  5. Step 5: Solve for x
    x = 228,607,183.13/16,658.29
  6. Step 6: Final answer
    x = 13,723.33

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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.