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Finding the Fourth Proportional to 11,220.30, 16,830.45 and 8,109.90

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Solution

The fourth proportional to 11,220.30, 16,830.45 and 8,109.90 is: 12,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,220.30 : 16,830.45 = 8,109.90 : x
  2. Step 2: Convert to fraction form
    11,220.30/16,830.45 = 8,109.90/x
  3. Step 3: Cross multiply
    11,220.30x = 16,830.45 × 8,109.90
  4. Step 4: Simplify right side
    11,220.30x = 136,493,266.46
  5. Step 5: Solve for x
    x = 136,493,266.46/11,220.30
  6. Step 6: Final answer
    x = 12,164.85

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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.