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Finding the Fourth Proportional to 17,171, 23,697.96 and 10,460.54

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Solution

The fourth proportional to 17,171, 23,697.96 and 10,460.54 is: 14,436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,171 : 23,697.96 = 10,460.54 : x
  2. Step 2: Convert to fraction form
    17,171/23,697.96 = 10,460.54/x
  3. Step 3: Cross multiply
    17,171x = 23,697.96 × 10,460.54
  4. Step 4: Simplify right side
    17,171x = 247,893,458.50
  5. Step 5: Solve for x
    x = 247,893,458.50/17,171
  6. Step 6: Final answer
    x = 14,436.75

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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.