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Finding the Fourth Proportional to 19,414.40, 29,114.40 and 7,725.20

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Solution

The fourth proportional to 19,414.40, 29,114.40 and 7,725.20 is: 11,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,414.40 : 29,114.40 = 7,725.20 : x
  2. Step 2: Convert to fraction form
    19,414.40/29,114.40 = 7,725.20/x
  3. Step 3: Cross multiply
    19,414.40x = 29,114.40 × 7,725.20
  4. Step 4: Simplify right side
    19,414.40x = 224,914,562.88
  5. Step 5: Solve for x
    x = 224,914,562.88/19,414.40
  6. Step 6: Final answer
    x = 11,584.94

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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.