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Finding the Fourth Proportional to 13,834.44, 19,087.06 and 8,169.42

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Solution

The fourth proportional to 13,834.44, 19,087.06 and 8,169.42 is: 11,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834.44 : 19,087.06 = 8,169.42 : x
  2. Step 2: Convert to fraction form
    13,834.44/19,087.06 = 8,169.42/x
  3. Step 3: Cross multiply
    13,834.44x = 19,087.06 × 8,169.42
  4. Step 4: Simplify right side
    13,834.44x = 155,930,209.71
  5. Step 5: Solve for x
    x = 155,930,209.71/13,834.44
  6. Step 6: Final answer
    x = 11,271.16

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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.