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Finding the Fourth Proportional to 12,781.40, 19,181.41 and 6,546.62

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Solution

The fourth proportional to 12,781.40, 19,181.41 and 6,546.62 is: 9,824.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.40 : 19,181.41 = 6,546.62 : x
  2. Step 2: Convert to fraction form
    12,781.40/19,181.41 = 6,546.62/x
  3. Step 3: Cross multiply
    12,781.40x = 19,181.41 × 6,546.62
  4. Step 4: Simplify right side
    12,781.40x = 125,573,402.33
  5. Step 5: Solve for x
    x = 125,573,402.33/12,781.40
  6. Step 6: Final answer
    x = 9,824.70

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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.