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Finding the Fourth Proportional to 16,196.70, 22,351.81 and 9,027.35

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Solution

The fourth proportional to 16,196.70, 22,351.81 and 9,027.35 is: 12,457.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.70 : 22,351.81 = 9,027.35 : x
  2. Step 2: Convert to fraction form
    16,196.70/22,351.81 = 9,027.35/x
  3. Step 3: Cross multiply
    16,196.70x = 22,351.81 × 9,027.35
  4. Step 4: Simplify right side
    16,196.70x = 201,777,654.18
  5. Step 5: Solve for x
    x = 201,777,654.18/16,196.70
  6. Step 6: Final answer
    x = 12,457.95

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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.