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Finding the Fourth Proportional to 10,997.70, 16,496.55 and 10,851.90

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Solution

The fourth proportional to 10,997.70, 16,496.55 and 10,851.90 is: 16,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.70 : 16,496.55 = 10,851.90 : x
  2. Step 2: Convert to fraction form
    10,997.70/16,496.55 = 10,851.90/x
  3. Step 3: Cross multiply
    10,997.70x = 16,496.55 × 10,851.90
  4. Step 4: Simplify right side
    10,997.70x = 179,018,910.95
  5. Step 5: Solve for x
    x = 179,018,910.95/10,997.70
  6. Step 6: Final answer
    x = 16,277.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.