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Finding the Fourth Proportional to 12,902.68, 19,354.44 and 4,136.48

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Solution

The fourth proportional to 12,902.68, 19,354.44 and 4,136.48 is: 6,204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.68 : 19,354.44 = 4,136.48 : x
  2. Step 2: Convert to fraction form
    12,902.68/19,354.44 = 4,136.48/x
  3. Step 3: Cross multiply
    12,902.68x = 19,354.44 × 4,136.48
  4. Step 4: Simplify right side
    12,902.68x = 80,059,253.97
  5. Step 5: Solve for x
    x = 80,059,253.97/12,902.68
  6. Step 6: Final answer
    x = 6,204.85

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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.