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Finding the Fourth Proportional to 16,552.82, 22,842.80 and 9,384.09

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Solution

The fourth proportional to 16,552.82, 22,842.80 and 9,384.09 is: 12,949.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,552.82 : 22,842.80 = 9,384.09 : x
  2. Step 2: Convert to fraction form
    16,552.82/22,842.80 = 9,384.09/x
  3. Step 3: Cross multiply
    16,552.82x = 22,842.80 × 9,384.09
  4. Step 4: Simplify right side
    16,552.82x = 214,358,891.05
  5. Step 5: Solve for x
    x = 214,358,891.05/16,552.82
  6. Step 6: Final answer
    x = 12,949.99

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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.