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Finding the Fourth Proportional to 17,137.71, 25,707.24 and 16,202.70

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Solution

The fourth proportional to 17,137.71, 25,707.24 and 16,202.70 is: 24,304.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,137.71 : 25,707.24 = 16,202.70 : x
  2. Step 2: Convert to fraction form
    17,137.71/25,707.24 = 16,202.70/x
  3. Step 3: Cross multiply
    17,137.71x = 25,707.24 × 16,202.70
  4. Step 4: Simplify right side
    17,137.71x = 416,526,697.55
  5. Step 5: Solve for x
    x = 416,526,697.55/17,137.71
  6. Step 6: Final answer
    x = 24,304.69

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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.