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Finding the Fourth Proportional to 13,234.77, 19,857.29 and 5,834.05

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Solution

The fourth proportional to 13,234.77, 19,857.29 and 5,834.05 is: 8,753.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234.77 : 19,857.29 = 5,834.05 : x
  2. Step 2: Convert to fraction form
    13,234.77/19,857.29 = 5,834.05/x
  3. Step 3: Cross multiply
    13,234.77x = 19,857.29 × 5,834.05
  4. Step 4: Simplify right side
    13,234.77x = 115,848,343.91
  5. Step 5: Solve for x
    x = 115,848,343.91/13,234.77
  6. Step 6: Final answer
    x = 8,753.33

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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.