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Finding the Fourth Proportional to 13,234.96, 19,847.14 and 5,834.16

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Solution

The fourth proportional to 13,234.96, 19,847.14 and 5,834.16 is: 8,748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234.96 : 19,847.14 = 5,834.16 : x
  2. Step 2: Convert to fraction form
    13,234.96/19,847.14 = 5,834.16/x
  3. Step 3: Cross multiply
    13,234.96x = 19,847.14 × 5,834.16
  4. Step 4: Simplify right side
    13,234.96x = 115,791,301.29
  5. Step 5: Solve for x
    x = 115,791,301.29/13,234.96
  6. Step 6: Final answer
    x = 8,748.90

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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.