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Finding the Fourth Proportional to 12,902.82, 19,354.26 and 3,542.96

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Solution

The fourth proportional to 12,902.82, 19,354.26 and 3,542.96 is: 5,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.82 : 19,354.26 = 3,542.96 : x
  2. Step 2: Convert to fraction form
    12,902.82/19,354.26 = 3,542.96/x
  3. Step 3: Cross multiply
    12,902.82x = 19,354.26 × 3,542.96
  4. Step 4: Simplify right side
    12,902.82x = 68,571,369.01
  5. Step 5: Solve for x
    x = 68,571,369.01/12,902.82
  6. Step 6: Final answer
    x = 5,314.45

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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.