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Finding the Fourth Proportional to 25,527.92, 38,262.72 and 13,850.96

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Solution

The fourth proportional to 25,527.92, 38,262.72 and 13,850.96 is: 20,760.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,527.92 : 38,262.72 = 13,850.96 : x
  2. Step 2: Convert to fraction form
    25,527.92/38,262.72 = 13,850.96/x
  3. Step 3: Cross multiply
    25,527.92x = 38,262.72 × 13,850.96
  4. Step 4: Simplify right side
    25,527.92x = 529,975,404.21
  5. Step 5: Solve for x
    x = 529,975,404.21/25,527.92
  6. Step 6: Final answer
    x = 20,760.62

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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.