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Finding the Fourth Proportional to 17,071.76, 25,608.96 and 6,546.83

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Solution

The fourth proportional to 17,071.76, 25,608.96 and 6,546.83 is: 9,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,071.76 : 25,608.96 = 6,546.83 : x
  2. Step 2: Convert to fraction form
    17,071.76/25,608.96 = 6,546.83/x
  3. Step 3: Cross multiply
    17,071.76x = 25,608.96 × 6,546.83
  4. Step 4: Simplify right side
    17,071.76x = 167,657,379.55
  5. Step 5: Solve for x
    x = 167,657,379.55/17,071.76
  6. Step 6: Final answer
    x = 9,820.74

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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.