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Finding the Fourth Proportional to 16,011.40, 22,096.16 and 8,939.20

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Solution

The fourth proportional to 16,011.40, 22,096.16 and 8,939.20 is: 12,336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,011.40 : 22,096.16 = 8,939.20 : x
  2. Step 2: Convert to fraction form
    16,011.40/22,096.16 = 8,939.20/x
  3. Step 3: Cross multiply
    16,011.40x = 22,096.16 × 8,939.20
  4. Step 4: Simplify right side
    16,011.40x = 197,521,993.47
  5. Step 5: Solve for x
    x = 197,521,993.47/16,011.40
  6. Step 6: Final answer
    x = 12,336.33

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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.