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Finding the Fourth Proportional to 13,804.34, 20,680.36 and 8,165.14

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Solution

The fourth proportional to 13,804.34, 20,680.36 and 8,165.14 is: 12,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.34 : 20,680.36 = 8,165.14 : x
  2. Step 2: Convert to fraction form
    13,804.34/20,680.36 = 8,165.14/x
  3. Step 3: Cross multiply
    13,804.34x = 20,680.36 × 8,165.14
  4. Step 4: Simplify right side
    13,804.34x = 168,858,034.65
  5. Step 5: Solve for x
    x = 168,858,034.65/13,804.34
  6. Step 6: Final answer
    x = 12,232.24

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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.