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Finding the Fourth Proportional to 16,287.81, 22,478.26 and 9,118.36

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Solution

The fourth proportional to 16,287.81, 22,478.26 and 9,118.36 is: 12,583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.81 : 22,478.26 = 9,118.36 : x
  2. Step 2: Convert to fraction form
    16,287.81/22,478.26 = 9,118.36/x
  3. Step 3: Cross multiply
    16,287.81x = 22,478.26 × 9,118.36
  4. Step 4: Simplify right side
    16,287.81x = 204,964,866.85
  5. Step 5: Solve for x
    x = 204,964,866.85/16,287.81
  6. Step 6: Final answer
    x = 12,583.94

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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.