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Finding the Fourth Proportional to 16,549.69, 22,838.67 and 8,996.08

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Solution

The fourth proportional to 16,549.69, 22,838.67 and 8,996.08 is: 12,414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549.69 : 22,838.67 = 8,996.08 : x
  2. Step 2: Convert to fraction form
    16,549.69/22,838.67 = 8,996.08/x
  3. Step 3: Cross multiply
    16,549.69x = 22,838.67 × 8,996.08
  4. Step 4: Simplify right side
    16,549.69x = 205,458,502.41
  5. Step 5: Solve for x
    x = 205,458,502.41/16,549.69
  6. Step 6: Final answer
    x = 12,414.64

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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.