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Finding the Fourth Proportional to 13,686.90, 20,538.45 and 9,979.80

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Solution

The fourth proportional to 13,686.90, 20,538.45 and 9,979.80 is: 14,975.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.90 : 20,538.45 = 9,979.80 : x
  2. Step 2: Convert to fraction form
    13,686.90/20,538.45 = 9,979.80/x
  3. Step 3: Cross multiply
    13,686.90x = 20,538.45 × 9,979.80
  4. Step 4: Simplify right side
    13,686.90x = 204,969,623.31
  5. Step 5: Solve for x
    x = 204,969,623.31/13,686.90
  6. Step 6: Final answer
    x = 14,975.61

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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.