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Finding the Fourth Proportional to 16,221.78, 22,389.66 and 10,546.68

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Solution

The fourth proportional to 16,221.78, 22,389.66 and 10,546.68 is: 14,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.78 : 22,389.66 = 10,546.68 : x
  2. Step 2: Convert to fraction form
    16,221.78/22,389.66 = 10,546.68/x
  3. Step 3: Cross multiply
    16,221.78x = 22,389.66 × 10,546.68
  4. Step 4: Simplify right side
    16,221.78x = 236,136,579.33
  5. Step 5: Solve for x
    x = 236,136,579.33/16,221.78
  6. Step 6: Final answer
    x = 14,556.76

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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.