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Finding the Fourth Proportional to 16,102.29, 22,221.54 and 9,028.56

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Solution

The fourth proportional to 16,102.29, 22,221.54 and 9,028.56 is: 12,459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.29 : 22,221.54 = 9,028.56 : x
  2. Step 2: Convert to fraction form
    16,102.29/22,221.54 = 9,028.56/x
  3. Step 3: Cross multiply
    16,102.29x = 22,221.54 × 9,028.56
  4. Step 4: Simplify right side
    16,102.29x = 200,628,507.18
  5. Step 5: Solve for x
    x = 200,628,507.18/16,102.29
  6. Step 6: Final answer
    x = 12,459.63

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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.