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Finding the Fourth Proportional to 22,956.92, 31,676.68 and 13,527.36

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Solution

The fourth proportional to 22,956.92, 31,676.68 and 13,527.36 is: 18,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,956.92 : 31,676.68 = 13,527.36 : x
  2. Step 2: Convert to fraction form
    22,956.92/31,676.68 = 13,527.36/x
  3. Step 3: Cross multiply
    22,956.92x = 31,676.68 × 13,527.36
  4. Step 4: Simplify right side
    22,956.92x = 428,501,853.96
  5. Step 5: Solve for x
    x = 428,501,853.96/22,956.92
  6. Step 6: Final answer
    x = 18,665.48

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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.