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Finding the Fourth Proportional to 12,820.14, 17,667.36 and 8,834.04

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Solution

The fourth proportional to 12,820.14, 17,667.36 and 8,834.04 is: 12,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.14 : 17,667.36 = 8,834.04 : x
  2. Step 2: Convert to fraction form
    12,820.14/17,667.36 = 8,834.04/x
  3. Step 3: Cross multiply
    12,820.14x = 17,667.36 × 8,834.04
  4. Step 4: Simplify right side
    12,820.14x = 156,074,164.93
  5. Step 5: Solve for x
    x = 156,074,164.93/12,820.14
  6. Step 6: Final answer
    x = 12,174.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.