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Finding the Fourth Proportional to 17,027.70, 25,527.18 and 8,138.02

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Solution

The fourth proportional to 17,027.70, 25,527.18 and 8,138.02 is: 12,200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,027.70 : 25,527.18 = 8,138.02 : x
  2. Step 2: Convert to fraction form
    17,027.70/25,527.18 = 8,138.02/x
  3. Step 3: Cross multiply
    17,027.70x = 25,527.18 × 8,138.02
  4. Step 4: Simplify right side
    17,027.70x = 207,740,701.38
  5. Step 5: Solve for x
    x = 207,740,701.38/17,027.70
  6. Step 6: Final answer
    x = 12,200.16

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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.