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Finding the Fourth Proportional to 16,649.90, 22,977.17 and 9,096.55

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Solution

The fourth proportional to 16,649.90, 22,977.17 and 9,096.55 is: 12,553.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.90 : 22,977.17 = 9,096.55 : x
  2. Step 2: Convert to fraction form
    16,649.90/22,977.17 = 9,096.55/x
  3. Step 3: Cross multiply
    16,649.90x = 22,977.17 × 9,096.55
  4. Step 4: Simplify right side
    16,649.90x = 209,013,036.20
  5. Step 5: Solve for x
    x = 209,013,036.20/16,649.90
  6. Step 6: Final answer
    x = 12,553.41

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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.