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Finding the Fourth Proportional to 12,735.67, 19,103.10 and 4,414.90

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Solution

The fourth proportional to 12,735.67, 19,103.10 and 4,414.90 is: 6,622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.67 : 19,103.10 = 4,414.90 : x
  2. Step 2: Convert to fraction form
    12,735.67/19,103.10 = 4,414.90/x
  3. Step 3: Cross multiply
    12,735.67x = 19,103.10 × 4,414.90
  4. Step 4: Simplify right side
    12,735.67x = 84,338,276.19
  5. Step 5: Solve for x
    x = 84,338,276.19/12,735.67
  6. Step 6: Final answer
    x = 6,622.21

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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.