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Finding the Fourth Proportional to 17,171.60, 23,697.53 and 9,617.74

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Solution

The fourth proportional to 17,171.60, 23,697.53 and 9,617.74 is: 13,272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,171.60 : 23,697.53 = 9,617.74 : x
  2. Step 2: Convert to fraction form
    17,171.60/23,697.53 = 9,617.74/x
  3. Step 3: Cross multiply
    17,171.60x = 23,697.53 × 9,617.74
  4. Step 4: Simplify right side
    17,171.60x = 227,916,610.92
  5. Step 5: Solve for x
    x = 227,916,610.92/17,171.60
  6. Step 6: Final answer
    x = 13,272.89

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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.