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Finding the Fourth Proportional to 19,614.60, 29,414.70 and 6,467.40

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Solution

The fourth proportional to 19,614.60, 29,414.70 and 6,467.40 is: 9,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,614.60 : 29,414.70 = 6,467.40 : x
  2. Step 2: Convert to fraction form
    19,614.60/29,414.70 = 6,467.40/x
  3. Step 3: Cross multiply
    19,614.60x = 29,414.70 × 6,467.40
  4. Step 4: Simplify right side
    19,614.60x = 190,236,630.78
  5. Step 5: Solve for x
    x = 190,236,630.78/19,614.60
  6. Step 6: Final answer
    x = 9,698.73

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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.