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Finding the Fourth Proportional to 12,842.45, 19,265.78 and 4,079.46

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Solution

The fourth proportional to 12,842.45, 19,265.78 and 4,079.46 is: 6,119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.45 : 19,265.78 = 4,079.46 : x
  2. Step 2: Convert to fraction form
    12,842.45/19,265.78 = 4,079.46/x
  3. Step 3: Cross multiply
    12,842.45x = 19,265.78 × 4,079.46
  4. Step 4: Simplify right side
    12,842.45x = 78,593,958.48
  5. Step 5: Solve for x
    x = 78,593,958.48/12,842.45
  6. Step 6: Final answer
    x = 6,119.86

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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.