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Finding the Fourth Proportional to 13,231.72, 19,848 and 6,654.31

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Solution

The fourth proportional to 13,231.72, 19,848 and 6,654.31 is: 9,981.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,231.72 : 19,848 = 6,654.31 : x
  2. Step 2: Convert to fraction form
    13,231.72/19,848 = 6,654.31/x
  3. Step 3: Cross multiply
    13,231.72x = 19,848 × 6,654.31
  4. Step 4: Simplify right side
    13,231.72x = 132,074,744.88
  5. Step 5: Solve for x
    x = 132,074,744.88/13,231.72
  6. Step 6: Final answer
    x = 9,981.68

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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.