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Finding the Fourth Proportional to 12,797.34, 19,201.49 and 4,902.21

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Solution

The fourth proportional to 12,797.34, 19,201.49 and 4,902.21 is: 7,355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.34 : 19,201.49 = 4,902.21 : x
  2. Step 2: Convert to fraction form
    12,797.34/19,201.49 = 4,902.21/x
  3. Step 3: Cross multiply
    12,797.34x = 19,201.49 × 4,902.21
  4. Step 4: Simplify right side
    12,797.34x = 94,129,711.78
  5. Step 5: Solve for x
    x = 94,129,711.78/12,797.34
  6. Step 6: Final answer
    x = 7,355.41

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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.