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Finding the Fourth Proportional to 13,797.30, 20,668.82 and 9,102.98

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Solution

The fourth proportional to 13,797.30, 20,668.82 and 9,102.98 is: 13,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.30 : 20,668.82 = 9,102.98 : x
  2. Step 2: Convert to fraction form
    13,797.30/20,668.82 = 9,102.98/x
  3. Step 3: Cross multiply
    13,797.30x = 20,668.82 × 9,102.98
  4. Step 4: Simplify right side
    13,797.30x = 188,147,855.08
  5. Step 5: Solve for x
    x = 188,147,855.08/13,797.30
  6. Step 6: Final answer
    x = 13,636.57

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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.