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Finding the Fourth Proportional to 12,757.86, 19,119.78 and 6,170.94

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Solution

The fourth proportional to 12,757.86, 19,119.78 and 6,170.94 is: 9,248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.86 : 19,119.78 = 6,170.94 : x
  2. Step 2: Convert to fraction form
    12,757.86/19,119.78 = 6,170.94/x
  3. Step 3: Cross multiply
    12,757.86x = 19,119.78 × 6,170.94
  4. Step 4: Simplify right side
    12,757.86x = 117,987,015.19
  5. Step 5: Solve for x
    x = 117,987,015.19/12,757.86
  6. Step 6: Final answer
    x = 9,248.18

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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.