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Finding the Fourth Proportional to 13,635.96, 18,818.78 and 7,668.19

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Solution

The fourth proportional to 13,635.96, 18,818.78 and 7,668.19 is: 10,582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,635.96 : 18,818.78 = 7,668.19 : x
  2. Step 2: Convert to fraction form
    13,635.96/18,818.78 = 7,668.19/x
  3. Step 3: Cross multiply
    13,635.96x = 18,818.78 × 7,668.19
  4. Step 4: Simplify right side
    13,635.96x = 144,305,980.61
  5. Step 5: Solve for x
    x = 144,305,980.61/13,635.96
  6. Step 6: Final answer
    x = 10,582.75

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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.