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Finding the Fourth Proportional to 16,549.90, 22,838.82 and 8,996.23

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Solution

The fourth proportional to 16,549.90, 22,838.82 and 8,996.23 is: 12,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549.90 : 22,838.82 = 8,996.23 : x
  2. Step 2: Convert to fraction form
    16,549.90/22,838.82 = 8,996.23/x
  3. Step 3: Cross multiply
    16,549.90x = 22,838.82 × 8,996.23
  4. Step 4: Simplify right side
    16,549.90x = 205,463,277.65
  5. Step 5: Solve for x
    x = 205,463,277.65/16,549.90
  6. Step 6: Final answer
    x = 12,414.77

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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.