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Finding the Fourth Proportional to 17,171.62, 23,697.23 and 9,618.50

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Solution

The fourth proportional to 17,171.62, 23,697.23 and 9,618.50 is: 13,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,171.62 : 23,697.23 = 9,618.50 : x
  2. Step 2: Convert to fraction form
    17,171.62/23,697.23 = 9,618.50/x
  3. Step 3: Cross multiply
    17,171.62x = 23,697.23 × 9,618.50
  4. Step 4: Simplify right side
    17,171.62x = 227,931,817.91
  5. Step 5: Solve for x
    x = 227,931,817.91/17,171.62
  6. Step 6: Final answer
    x = 13,273.75

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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.