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Finding the Fourth Proportional to 13,768.65, 20,654.32 and 4,406.31

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Solution

The fourth proportional to 13,768.65, 20,654.32 and 4,406.31 is: 6,609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.65 : 20,654.32 = 4,406.31 : x
  2. Step 2: Convert to fraction form
    13,768.65/20,654.32 = 4,406.31/x
  3. Step 3: Cross multiply
    13,768.65x = 20,654.32 × 4,406.31
  4. Step 4: Simplify right side
    13,768.65x = 91,009,233.49
  5. Step 5: Solve for x
    x = 91,009,233.49/13,768.65
  6. Step 6: Final answer
    x = 6,609.89

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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.