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Finding the Fourth Proportional to 13,765.43, 18,990.09 and 8,458.31

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Solution

The fourth proportional to 13,765.43, 18,990.09 and 8,458.31 is: 11,668.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.43 : 18,990.09 = 8,458.31 : x
  2. Step 2: Convert to fraction form
    13,765.43/18,990.09 = 8,458.31/x
  3. Step 3: Cross multiply
    13,765.43x = 18,990.09 × 8,458.31
  4. Step 4: Simplify right side
    13,765.43x = 160,623,973.20
  5. Step 5: Solve for x
    x = 160,623,973.20/13,765.43
  6. Step 6: Final answer
    x = 11,668.65

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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.