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Finding the Fourth Proportional to 17,031.38, 25,546.77 and 7,664.77

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Solution

The fourth proportional to 17,031.38, 25,546.77 and 7,664.77 is: 11,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,031.38 : 25,546.77 = 7,664.77 : x
  2. Step 2: Convert to fraction form
    17,031.38/25,546.77 = 7,664.77/x
  3. Step 3: Cross multiply
    17,031.38x = 25,546.77 × 7,664.77
  4. Step 4: Simplify right side
    17,031.38x = 195,810,116.29
  5. Step 5: Solve for x
    x = 195,810,116.29/17,031.38
  6. Step 6: Final answer
    x = 11,497.02

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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.