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Finding the Fourth Proportional to 34,847.49, 52,252.70 and 13,786.68

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Solution

The fourth proportional to 34,847.49, 52,252.70 and 13,786.68 is: 20,672.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,847.49 : 52,252.70 = 13,786.68 : x
  2. Step 2: Convert to fraction form
    34,847.49/52,252.70 = 13,786.68/x
  3. Step 3: Cross multiply
    34,847.49x = 52,252.70 × 13,786.68
  4. Step 4: Simplify right side
    34,847.49x = 720,391,288.50
  5. Step 5: Solve for x
    x = 720,391,288.50/34,847.49
  6. Step 6: Final answer
    x = 20,672.69

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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.