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Finding the Fourth Proportional to 34,162.86, 51,254.21 and 14,168.69

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Solution

The fourth proportional to 34,162.86, 51,254.21 and 14,168.69 is: 21,257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,162.86 : 51,254.21 = 14,168.69 : x
  2. Step 2: Convert to fraction form
    34,162.86/51,254.21 = 14,168.69/x
  3. Step 3: Cross multiply
    34,162.86x = 51,254.21 × 14,168.69
  4. Step 4: Simplify right side
    34,162.86x = 726,204,685.57
  5. Step 5: Solve for x
    x = 726,204,685.57/34,162.86
  6. Step 6: Final answer
    x = 21,257.14

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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.