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Finding the Fourth Proportional to 12,514.80, 18,772.20 and 5,114.40

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Solution

The fourth proportional to 12,514.80, 18,772.20 and 5,114.40 is: 7,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.80 : 18,772.20 = 5,114.40 : x
  2. Step 2: Convert to fraction form
    12,514.80/18,772.20 = 5,114.40/x
  3. Step 3: Cross multiply
    12,514.80x = 18,772.20 × 5,114.40
  4. Step 4: Simplify right side
    12,514.80x = 96,008,539.68
  5. Step 5: Solve for x
    x = 96,008,539.68/12,514.80
  6. Step 6: Final answer
    x = 7,671.60

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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.