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Finding the Fourth Proportional to 12,614.40, 18,909.60 and 4,714.80

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Solution

The fourth proportional to 12,614.40, 18,909.60 and 4,714.80 is: 7,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.40 : 18,909.60 = 4,714.80 : x
  2. Step 2: Convert to fraction form
    12,614.40/18,909.60 = 4,714.80/x
  3. Step 3: Cross multiply
    12,614.40x = 18,909.60 × 4,714.80
  4. Step 4: Simplify right side
    12,614.40x = 89,154,982.08
  5. Step 5: Solve for x
    x = 89,154,982.08/12,614.40
  6. Step 6: Final answer
    x = 7,067.71

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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.