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Finding the Fourth Proportional to 12,745.90, 19,119.18 and 6,170.86

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Solution

The fourth proportional to 12,745.90, 19,119.18 and 6,170.86 is: 9,256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,745.90 : 19,119.18 = 6,170.86 : x
  2. Step 2: Convert to fraction form
    12,745.90/19,119.18 = 6,170.86/x
  3. Step 3: Cross multiply
    12,745.90x = 19,119.18 × 6,170.86
  4. Step 4: Simplify right side
    12,745.90x = 117,981,783.09
  5. Step 5: Solve for x
    x = 117,981,783.09/12,745.90
  6. Step 6: Final answer
    x = 9,256.45

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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.