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Finding the Fourth Proportional to 16,021.82, 22,110 and 8,948.24

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Solution

The fourth proportional to 16,021.82, 22,110 and 8,948.24 is: 12,348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.82 : 22,110 = 8,948.24 : x
  2. Step 2: Convert to fraction form
    16,021.82/22,110 = 8,948.24/x
  3. Step 3: Cross multiply
    16,021.82x = 22,110 × 8,948.24
  4. Step 4: Simplify right side
    16,021.82x = 197,845,586.40
  5. Step 5: Solve for x
    x = 197,845,586.40/16,021.82
  6. Step 6: Final answer
    x = 12,348.51

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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.