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Finding the Fourth Proportional to 12,142.89, 18,214.80 and 4,351.71

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Solution

The fourth proportional to 12,142.89, 18,214.80 and 4,351.71 is: 6,527.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.89 : 18,214.80 = 4,351.71 : x
  2. Step 2: Convert to fraction form
    12,142.89/18,214.80 = 4,351.71/x
  3. Step 3: Cross multiply
    12,142.89x = 18,214.80 × 4,351.71
  4. Step 4: Simplify right side
    12,142.89x = 79,265,527.31
  5. Step 5: Solve for x
    x = 79,265,527.31/12,142.89
  6. Step 6: Final answer
    x = 6,527.73

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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.