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Finding the Fourth Proportional to 12,728.40, 19,081.44 and 6,480.24

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Solution

The fourth proportional to 12,728.40, 19,081.44 and 6,480.24 is: 9,714.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.40 : 19,081.44 = 6,480.24 : x
  2. Step 2: Convert to fraction form
    12,728.40/19,081.44 = 6,480.24/x
  3. Step 3: Cross multiply
    12,728.40x = 19,081.44 × 6,480.24
  4. Step 4: Simplify right side
    12,728.40x = 123,652,310.75
  5. Step 5: Solve for x
    x = 123,652,310.75/12,728.40
  6. Step 6: Final answer
    x = 9,714.68

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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.