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Finding the Fourth Proportional to 13,636.85, 18,817.97 and 7,668.66

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Solution

The fourth proportional to 13,636.85, 18,817.97 and 7,668.66 is: 10,582.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,636.85 : 18,817.97 = 7,668.66 : x
  2. Step 2: Convert to fraction form
    13,636.85/18,817.97 = 7,668.66/x
  3. Step 3: Cross multiply
    13,636.85x = 18,817.97 × 7,668.66
  4. Step 4: Simplify right side
    13,636.85x = 144,308,575.48
  5. Step 5: Solve for x
    x = 144,308,575.48/13,636.85
  6. Step 6: Final answer
    x = 10,582.26

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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.